# Recent questions tagged inequality

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With what expression must $27x^3+1$ be divided to get a quotient of $3x+1$?
With what expression must $27x^3+1$ be divided to get a quotient of $3x+1$?With what expression must $27x^3+1$ be divided to get a quotient of $3x+1$? ...
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With what expression must $(a-2b)$ be multiplied to get a product of $a^3-8b^3$?
With what expression must $(a-2b)$ be multiplied to get a product of $a^3-8b^3$?With what expression must $(a-2b)$ be multiplied to get a product of $a^3-8b^3$? ...
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For what integer a does the compound inequality $a < \sqrt{48} + \sqrt{140} < a + 1$ hold?
For what integer a does the compound inequality $a < \sqrt{48} + \sqrt{140} < a + 1$ hold?For what integer a does the compound inequality $a &lt; \sqrt{48} + \sqrt{140} &lt; a + 1$ hold? ...
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If $a^3 + 12ab^2 = 679$ and $9a^2b + 12b^3 = 978$, find $a^2 − 4ab + 4b^2$
If $a^3 + 12ab^2 = 679$ and $9a^2b + 12b^3 = 978$, find $a^2 − 4ab + 4b^2$If $a^3 + 12ab^2 = 679$ and $9a^2b + 12b^3 = 978$, find $a^2 − 4ab + 4b^2$ ...
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Given that $0 < b < a$ and $a^2 + b^2 = 6ab$, what is the value of $\dfrac{a − b}{ a + b}$ ?
Given that $0 < b < a$ and $a^2 + b^2 = 6ab$, what is the value of $\dfrac{a − b}{ a + b}$ ?Given that $0 &lt; b &lt; a$ and $a^2 + b^2 = 6ab$, what is the value of $\dfrac{a − b}{ a + b}$ ? ...
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Why do some people have higher income than others?
Why do some people have higher income than others?Why do some people have higher income than others? ...
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Sometimes people complain about "economic inequality".
Sometimes people complain about "economic inequality".Sometimes people complain about &quot;economic inequality&quot;. What does this term refer to? ...
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Write the number of integers that satisfy this inequality: -3 ≤ 3m < 12
Write the number of integers that satisfy this inequality: -3 ≤ 3m < 12Write the number of integers that satisfy this inequality: -3 ≤ 3m &lt; 12 ...
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Given that -11 ≤ 3m - 8 < 4 , solve for m.
Given that -11 ≤ 3m - 8 < 4 , solve for m.Given that -11 ≤ 3m - 8 &lt; 4 , solve for m. ...
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Show me how to solve for x in the following inequality:
Show me how to solve for x in the following inequality:Show me how to solve for x in the following inequality: -4 ≤ -x/2 &lt; 5 Represent your answer on a number line. ...
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I am struggling to solve for x in this inequality:
I am struggling to solve for x in this inequality:I am struggling to solve for x in this inequality: x^2 - 16 &gt; 2x - 1 ...
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Anyone able to solve this inequality: x^2 - x < 12.
Anyone able to solve this inequality: x^2 - x < 12.Anyone able to solve this inequality: &nbsp;x^2 - x &lt; 12. ...
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Help me to determine the value of x here:
Help me to determine the value of x here:Help me to determine the value of x here: a. &nbsp;&nbsp;&nbsp;√(2x + 1) = x - 1 b. &nbsp;&nbsp;&nbsp;x(4 - x) &lt; 0 ...
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Solve for x in each of the following:
Solve for x in each of the following:Solve for x in each of the following: a. (2^x) + 3(2^(x + 1)) = 56 b. 4x - 9 &lt; 5x + 4 ...
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Help me to show that the following expression is true for all values of x:
Help me to show that the following expression is true for all values of x: Help me to show that the following expression is true for all real values of x: x2 - x + 9 &gt; 5 ...
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Given the following inequality:
Given the following inequality: Given the following inequality: (x + 2)(x - 3) &lt; -3x + 2 a. Solve for x. b. Hence or otherwise, determine the sum of all the integers sa ...
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Solve for x:
Solve for x: Solve for x: a.&nbsp; &nbsp; x^2 &lt; 25 b.&nbsp; &nbsp; -x&nbsp;≤ 2x^2 - 3 c.&nbsp; &nbsp; (x + 3)(x - 5)&nbsp;≤ -12 ...
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What is the simplex algorithm?
What is the simplex algorithm?What is the simplex algorithm? ...
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Write the simplified value of $12 \times 0.00361$ in scientific notation without any rounding.
Write the simplified value of $12 \times 0.00361$ in scientific notation without any rounding.Write the simplified value of $12 \times 0.00361$ in scientific notation without any rounding. ...
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Given $f(x)=x(x+2)$, solve for $x$ if ...
Given $f(x)=x(x+2)$, solve for $x$ if ... Given $f(x)=x(x+2)$, solve for $x$ if ... $f(x) =0$ $f(x) \geq 0$ and then represent the solution on a number line. ...
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Let $a, b, c$ be the side lengths, and $h_a, h_b, h_c$ be the altitudes, respectively, and $r$ be the inradius of a triangle. Prove the inequality ....
Let $a, b, c$ be the side lengths, and $h_a, h_b, h_c$ be the altitudes, respectively, and $r$ be the inradius of a triangle. Prove the inequality ....Let $a, b, c$ be the side lengths, and $h_a, h_b, h_c$ be the altitudes, respectively, and $r$ be the inradius &nbsp;of a triangle. Prove the ...
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Draw the graphical representation of the following inequalities $$x-y >2\\ x+2y\geq -2$$
Draw the graphical representation of the following inequalities $$x-y >2\\ x+2y\geq -2$$Draw the graphical representation of the following inequalities $$x-y &gt;2\\ x+2y\geq -2$$ ...
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Derive the system of inequalities that shows the number of hours he can spend on research and teaching.