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 $n^{200}&lt;5^{300}$? ...
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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 $(1-x)(x+2)&lt;0$ ...
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Write down the number of integers that satisfy the inequality $-11\leq 3m-8\leq 4$
1 answer 113 views
Write down the number of integers that satisfy the inequality $-11\leq 3m-8\leq 4$Write down the number of integers that satisfy the inequality $-11\leq 3m-8\leq 4$ ...
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If $x^{*} y=-10$, what is the value of $\left(4^{*} 4\right) * 3$ ?
0 answers 85 views
If $x^{*} y=-10$, what is the value of $\left(4^{*} 4\right) * 3$ ?If $x^{} y=-10$, what is the value of $\left(4^{} 4\right) 3$ ? ...
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1 answer 34 views
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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 $R^n$? ...
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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 ...
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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 $\dfrac{7}{3}&lt;\dfrac{p}{3}$ ...
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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
Verify that the Cauchy-Schwarz inequality holds. $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$Verify that the Cauchy-Schwarz inequality holds. (b) $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$ ...
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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
Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$Verify that the Cauchy&amp;ndash;Schwarz inequality holds for $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$ ...
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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
Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(4,1,1), \mathbf{v}=(1,2,3)$Verify that the Cauchy&amp;ndash;Schwarz inequality holds for $\mathbf{u}=(4,1,1), \mathbf{v}=(1,2,3)$ ...
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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
Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(1,2,1,2,3), \mathbf{v}=(0,1,1,5,-2)$Verify that the Cauchy&amp;ndash;Schwarz inequality holds for $\mathbf{u}=(1,2,1,2,3), \mathbf{v}=(0,1,1,5,-2)$ ...
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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? ...
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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 ...
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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} ...
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Describe income inequality and poverty and the policies to reduce them.
0 answers 79 views
Describe income inequality and poverty and the policies to reduce them.Describe income inequality and poverty and the policies to reduce them. ...
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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 \ ...
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Prove the Prohorov inequality
1 answer 62 views
Prove the Prohorov inequalityProve the Prohorov inequality ...
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Prove Kolmogorov's inequality
1 answer 67 views
Prove Kolmogorov's inequalityProve Kolmogorov's inequality ...
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Prove the Bennett inequality
1 answer 69 views
Prove the Bennett inequalityProve the Bennett inequality ...
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State the Prohorov inequality
1 answer 62 views
State the Prohorov inequalityState the Prohorov inequality ...
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State Kolmogorov's inequality
1 answer 72 views
State Kolmogorov's inequalityState Kolmogorov's inequality ...
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State the Hoeffding inequality for bounded independent random variables
1 answer 102 views
State the Hoeffding inequality for bounded independent random variablesState the Hoeffding inequality for bounded independent random variables ...
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State Bennett's inequality
1 answer 64 views
State Bennett's inequalityState Bennett's inequality ...
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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 $\dfrac{x}{2}+\dfrac{x}{3}=5$ ...
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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 $2(x-1)&gt;3(2 x+3)$ ...
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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 ...
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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 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the Schwartz theorem? 1 answer 119 views What is the Schwartz theorem?What is the Schwartz theorem? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the generalized mean inequality ? 1 answer 129 views What is the generalized mean inequality ?What is the generalized mean inequality ? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What does Wirtinger's Inequality state? 1 answer 67 views What does Wirtinger's Inequality state?What does &nbsp;Wirtinger's Inequality &nbsp;state? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 State the triangle inequality or Minkowski inequality 1 answer 76 views State the triangle inequality or Minkowski inequalityState the triangle inequality or Minkowski inequality ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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). ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove that A(B C)=(A B) C. 0 answers 53 views Prove that A(B C)=(A B) C. \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 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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} $$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If a and b are real numbers, solve the following equation: (a+2) x-b=-2+(a+b) x 1 answer 88 views If a and b are real numbers, solve the following equation: (a+2) x-b=-2+(a+b) xIf a and b are real numbers, solve the following equation: (a+2) x-b=-2+(a+b) x ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 5 x+2(x+7)=14 x-7 . Find x 1 answer 60 views 5 x+2(x+7)=14 x-7 . Find x$$5 x+2(x+7)=14 x-7 .$Find$x$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the value of$x$? 0 answers 79 views What is the value of$x$? What is the value of$x$? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve for$x$in$\frac{5}{x}+\frac{1}{x}=\frac{2}{x}+2$1 answer 119 views Solve for$x$in$\frac{5}{x}+\frac{1}{x}=\frac{2}{x}+2$Solve for$x$in$\dfrac{5}{x}+\dfrac{1}{x}=\dfrac{2}{x}+2$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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$5.2^{x}+3.2^{x+2}=68$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If$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)$17 / 7$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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)$17 / 7$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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 $$\frac{b+c}{\sqrt{a}}+\frac{a+c}{\sqrt{b}}+\frac{b+a}{\sqrt{c}} \geq \sqrt{a} ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given 3 positive reals a, b and c such that a+b+c=1, show that a^{a} b^{b} c^{c}+a^{b} b^{c} c^{a}+a^{c} b^{a} c^{b} \leq 1. 0 answers 139 views Given 3 positive reals a, b and c such that a+b+c=1, show that a^{a} b^{b} c^{c}+a^{b} b^{c} c^{a}+a^{c} b^{a} c^{b} \leq 1.Given 3 positive reals a, b and c such that a+b+c=1, show that a^{a} b^{b} c^{c}+a^{b} b^{c} c^{a}+a^{c} b^{a} c^{b} \leq 1. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Let x and y be positive real numbers satisfying x^{3}+y^{3}=x-y. Show that$$ x^{2}+4 y^{2}<1 $$0 answers 115 views Let x and y be positive real numbers satisfying x^{3}+y^{3}=x-y. Show that$$ x^{2}+4 y^{2}<1 $$Let x and y be positive real numbers satisfying x^{3}+y^{3}=x-y. Show that$$ x^{2}+4 y^{2}&lt;1 $$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given 3 positive reals a, b and c_{,} show that$$ \frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b} \geq \frac{3}{2} $$1 answer 160 views Given 3 positive reals a, b and c_{,} show that$$ \frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b} \geq \frac{3}{2} $$Given 3 positive reals a, b and c_{,} show that$$ \frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b} \geq \frac{3}{2}$\$ ...
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