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Recent questions tagged inequality


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What is the maximum possible value of \(n\) in the inequality \(n^{200}<5^{300}\)?
1 answer 36 views
What is the maximum possible value of \(n\) in the inequality \(n^{200}<5^{300}\)?What is the maximum possible value of \(n\) in the inequality \(n^{200}&lt;5^{300}\)? ...
by Pieter Gold Status
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asked in Mathematics May 2
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Solve the inequality \((1-x)(x+2)<0\)
1 answer 28 views
Solve the inequality \((1-x)(x+2)<0\)Solve the inequality \((1-x)(x+2)&lt;0\) ...
by MathsGee Platinum
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asked in Mathematics May 2
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Write down the number of integers that satisfy the inequality \(-11\leq 3m-8\leq 4\)
1 answer 113 views
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If \(x^{*} y=-10\), what is the value of \(\left(4^{*} 4\right) * 3\) ?
0 answers 85 views
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State Hadamard's Inequality
1 answer 34 views
State Hadamard's InequalityState Hadamard's Inequality ...
by MathsGee Platinum
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asked in Mathematics Feb 20
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What is the relationship between the Cauchy–Schwarz Inequality and angles in $R^n$?
1 answer 38 views
What is the relationship between the Cauchy–Schwarz Inequality and angles in $R^n$?What is the relationship between the Cauchy&amp;ndash;Schwarz Inequality and angles in $R^n$? ...
by MathsGee Platinum
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asked in Mathematics Jan 26
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Let \(A\) and \(B\) be \(n \times n\) matrices.
0 answers 36 views
Let \(A\) and \(B\) be \(n \times n\) matrices.Let \(A\) and \(B\) be \(n \times n\) matrices. a) Show that the \(\operatorname{rank}(A B) \leq \operatorname{rank}(A)\). Give an example where stric ...
by MathsGee Platinum
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asked in Mathematics Jan 21
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Solve the inequality \(\frac{7}{3}<\frac{p}{3}\)
1 answer 58 views
Solve the inequality \(\frac{7}{3}<\frac{p}{3}\)Solve the inequality \(\dfrac{7}{3}&lt;\dfrac{p}{3}\) ...
by Pieter Gold Status
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asked in Mathematics Jan 20
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Verify that the Cauchy-Schwarz inequality holds. \(\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)\)
0 answers 61 views
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Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$
0 answers 50 views
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Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(4,1,1), \mathbf{v}=(1,2,3)$
0 answers 61 views
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Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(1,2,1,2,3), \mathbf{v}=(0,1,1,5,-2)$
0 answers 47 views
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What does the Theorem of Pythagoras in $R^n$ state?
1 answer 90 views
What does the Theorem of Pythagoras in $R^n$ state?What does the Theorem of Pythagoras in $R^n$ state? ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Prove Chebyschev’s inequality
1 answer 72 views
Prove Chebyschev’s inequalityProve Chebyschev&amp;rsquo;s inequality (Chebyschev's inequality). Let \(X\) be a random variable. Then \ P(|X-E X|&gt;\epsilon) \leq \frac{\operato ...
by MathsGee Platinum
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asked in Data Science & Statistics Dec 15, 2021
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Prove Markov’s inequality.
1 answer 101 views
Prove Markov’s inequality.Prove (Markov's inequality). Suppose \(X\) is a nonnegative random variable and \(a \in\) is a positive constant. Then \ P(X \geq a) \leq \frac{E X} ...
by MathsGee Platinum
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asked in Data Science & Statistics Dec 15, 2021
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Describe income inequality and poverty and the policies to reduce them.
0 answers 79 views
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Prove that, for all values of \(x\), \[ x^{2}+4 x+12>x+3 \]
1 answer 57 views
Prove that, for all values of \(x\), \[ x^{2}+4 x+12>x+3 \]Prove that, for all values of \(x\), \ x^{2}+4 x+12&gt;x+3 \ ...
by MathsGee Platinum
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asked in Mathematics Nov 9, 2021
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Prove the Prohorov inequality
1 answer 62 views
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Prove Kolmogorov's inequality
1 answer 67 views
Prove Kolmogorov's inequalityProve Kolmogorov's inequality ...
by MathsGee Platinum
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asked in Data Science & Statistics Sep 21, 2021
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Prove the Bennett inequality
1 answer 69 views
Prove the Bennett inequalityProve the Bennett inequality ...
by MathsGee Platinum
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asked in Data Science & Statistics Sep 21, 2021
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State the Prohorov inequality
1 answer 62 views
State the Prohorov inequalityState the Prohorov inequality ...
by MathsGee Platinum
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asked in Data Science & Statistics Sep 21, 2021
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State Kolmogorov's inequality
1 answer 72 views
State Kolmogorov's inequalityState Kolmogorov's inequality ...
by MathsGee Platinum
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asked in Data Science & Statistics Sep 21, 2021
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State the Hoeffding inequality for bounded independent random variables
1 answer 102 views
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State Bennett's inequality
1 answer 64 views
State Bennett's inequalityState Bennett's inequality ...
by MathsGee Platinum
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asked in Data Science & Statistics Sep 21, 2021
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Solve \(\frac{x}{2}+\frac{x}{3}=5\)
1 answer 80 views
Solve \(\frac{x}{2}+\frac{x}{3}=5\)Solve \(\dfrac{x}{2}+\dfrac{x}{3}=5\) ...
by MathsGee Platinum
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asked in Mathematics Sep 13, 2021
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Solve \(2(x-1)>3(2 x+3)\)
1 answer 68 views
Solve \(2(x-1)>3(2 x+3)\)Solve \(2(x-1)&gt;3(2 x+3)\) ...
by Siyavula Bronze Status
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asked in Mathematics Sep 11, 2021
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In the following problem, \(b\), and \(c\). REAL NUMBERS. The derivative of \(g(x)=\log _{a}(b x)+c x^{2}\) is:
1 answer 110 views
In the following problem, \(b\), and \(c\). REAL NUMBERS. The derivative of \(g(x)=\log _{a}(b x)+c x^{2}\) is: In the following problem, \(b\), and \(c\). REAL NUMBERS.The derivative of \(g(x)=\log _{a}(b x)+c x^{2}\) is: \(g^{\prime}(x)=&nbsp;\dfrac{b ...
by MathsGee Platinum
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asked in Mathematics Aug 31, 2021
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Show that if $(\partial N / \partial x-\partial M / \partial y) /(x M-y N)$ depends only on the product $x y$, that is
1 answer 122 views
Show that if $(\partial N / \partial x-\partial M / \partial y) /(x M-y N)$ depends only on the product $x y$, that isShow that if $(\partial N / \partial x-\partial M / \partial y) /(x M-y N)$ depends only on the product $x y$, that is $$ \frac{\partial N / \partial ...
by Siyavula Bronze Status
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asked in Mathematics Aug 27, 2021
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What is the Schwartz theorem?
1 answer 119 views
What is the Schwartz theorem?What is the Schwartz theorem? ...
by MathsGee Platinum
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asked in Mathematics Aug 17, 2021
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What is the generalized mean inequality ?
1 answer 129 views
What is the generalized mean inequality ?What is the generalized mean inequality ? ...
by MathsGee Platinum
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asked in Mathematics Aug 17, 2021
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What does Wirtinger's Inequality state?
1 answer 67 views
What does Wirtinger's Inequality state?What does &nbsp;Wirtinger's Inequality &nbsp;state? ...
by MathsGee Platinum
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asked in Mathematics Aug 17, 2021
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State the triangle inequality or Minkowski inequality
1 answer 76 views
State the triangle inequality or Minkowski inequalityState the triangle inequality or Minkowski inequality ...
by Maths Genie Bronze Status
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asked in Mathematics Aug 9, 2021
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State the Schwartz inequality or Cauchy-Schwartz inequality
1 answer 109 views
State the Schwartz inequality or Cauchy-Schwartz inequalityState the Schwartz inequality or Cauchy-Schwartz inequality ...
by Maths Genie Bronze Status
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asked in Mathematics Aug 9, 2021
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Find $x$ and $y$ if $u=(x+y, x-3)$ is the zero vector.
1 answer 157 views
Find $x$ and $y$ if $u=(x+y, x-3)$ is the zero vector.Find $x$ and $y$ if $u=(x+y, x-3)$ is the zero vector. ...
by Maths Genie Bronze Status
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asked in Mathematics Aug 9, 2021
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Find $x$ and $y$ if $(x, 3)=(2, x+y)$.
1 answer 117 views
Find $x$ and $y$ if $(x, 3)=(2, x+y)$.Find $x$ and $y$ if $(x, 3)=(2, x+y)$. ...
by Maths Genie Bronze Status
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asked in Mathematics Aug 9, 2021
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Prove that $A(B C)=(A B) C$.
0 answers 53 views
Prove that $A(B C)=(A B) C$.\begin{equation} \text { If } A=\left\begin{array}{ll} 2 &amp; 6 \\ 7 &amp; 2 \end{array}\right B=\left\begin{array}{cc} -3 &amp; 5 \\ 0 &amp; 8 \e ...
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asked in Mathematics Jul 24, 2021
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Solve the system, if a is some real number:
1 answer 70 views
Solve the system, if a is some real number:Solve the system, if a is some real number: $$ \begin{aligned} &amp;a x+y=1 \\ &amp;x+a y=1 \end{aligned} $$ ...
by MathsGee Platinum
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asked in Mathematics Jul 22, 2021
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If $a$ and $b$ are real numbers, solve the following equation: $(a+2) x-b=-2+(a+b) x$
1 answer 88 views
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$5 x+2(x+7)=14 x-7 .$ Find $x$
1 answer 60 views
$5 x+2(x+7)=14 x-7 .$ Find $x$$5 x+2(x+7)=14 x-7 .$ Find $x$ ...
by MathsGee Platinum
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asked in Mathematics Jul 22, 2021
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What is the value of $x$?
0 answers 79 views
image
What is the value of $x$? What is the value of $x$? ...
by Edzai Zvobwo Bronze Status
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asked in Mathematics Jun 26, 2021
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Solve for $x$ in $\frac{5}{x}+\frac{1}{x}=\frac{2}{x}+2$
1 answer 119 views
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Show that $5.2^{x}+3.2^{x+2}=17.2^{x}$, hence solve $5.2^{x}+3.2^{x+2}=68$
1 answer 119 views
Show that $5.2^{x}+3.2^{x+2}=17.2^{x}$, hence solve $5.2^{x}+3.2^{x+2}=68$Show that $5.2^{x}+3.2^{x+2}=17.2^{x}$, hence solve $5.2^{x}+3.2^{x+2}=68$ ...
by Student SIlver Status
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asked in Mathematics Jun 14, 2021
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Solve for $x$ : $\quad 2^{x}=\frac{1}{16}$
1 answer 85 views
Solve for $x$ : $\quad 2^{x}=\frac{1}{16}$Solve for $x$ : $\quad 2^{x}=\dfrac{1}{16}$ ...
by Student SIlver Status
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asked in Mathematics Jun 14, 2021
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If $x$ is real, the maximum value of $\dfrac{3 x^{2}+9 x+17}{3 x^{2}+9 x+7}$ is
1 answer 178 views
If $x$ is real, the maximum value of $\dfrac{3 x^{2}+9 x+17}{3 x^{2}+9 x+7}$ isIf $x$ is real, the maximum value of $\dfrac{3 x^{2}+9 x+17}{3 x^{2}+9 x+7}$ is 1) $1 / 4$ 2) 41 3) 1 4) $17 / 7$ ...
by Student SIlver Status
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asked in Mathematics Jun 12, 2021
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If $x$ is real, the maximum value of $\frac{3 x^{2}+9 x+17}{3 x^{2}+9 x+7}$ is
1 answer 181 views
If $x$ is real, the maximum value of $\frac{3 x^{2}+9 x+17}{3 x^{2}+9 x+7}$ isIf $x$ is real, the maximum value of $\frac{3 x^{2}+9 x+17}{3 x^{2}+9 x+7}$ is 1) $1 / 4$ 2) 41 3) 1 4) $17 / 7$ ...
by Pieter Gold Status
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asked in Mathematics Jun 9, 2021
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If $a, b, c$ are distinct +ve real numbers and $a^{2}+b^{2}+c^{2}=1$ then $a b+b c+c a$ is
1 answer 153 views
If $a, b, c$ are distinct +ve real numbers and $a^{2}+b^{2}+c^{2}=1$ then $a b+b c+c a$ isIf $a, b, c$ are distinct +ve real numbers and $a^{2}+b^{2}+c^{2}=1$ then $a b+b c+c a$ is 1) less than 1 2) equal to 1 3) greater than 1 4) any real ...
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asked in Mathematics Jun 9, 2021
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Let $a, b, c$ be positive real numbers such that $a b c=1$. Prove that
0 answers 211 views
Let $a, b, c$ be positive real numbers such that $a b c=1$. Prove thatLet $a, b, c$ be positive real numbers such that $a b c=1$. Prove that $$ \frac{b+c}{\sqrt{a}}+\frac{a+c}{\sqrt{b}}+\frac{b+a}{\sqrt{c}} \geq \sqrt{a} ...
by Pieter Gold Status
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asked in Mathematics May 31, 2021
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Given 3 positive reals $a, b$ and $c$ such that $a+b+c=1$, show that $a^{a} b^{b} c^{c}+a^{b} b^{c} c^{a}+a^{c} b^{a} c^{b} \leq 1$.
0 answers 139 views
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Let $x$ and $y$ be positive real numbers satisfying $x^{3}+y^{3}=x-y$. Show that $$ x^{2}+4 y^{2}<1 $$
0 answers 115 views
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Given 3 positive reals $a, b$ and $c_{,}$ show that $$ \frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b} \geq \frac{3}{2} $$
1 answer 160 views
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