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Does the inequality $|\frac{1-x}{(\sqrt x +1)^2}|<1$ hold for $x>0$?

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#functions #inequality #absolute-value
41
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Solve inequality $\left|\frac{1-\lambda}{(a+1)^2}\right|<1$

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#real-analysis #inequality #absolute-value
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How does this proof of Theorem 1 in Spivak's Calculus work?

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#notation #proof-explanation #absolute-value
210
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Law of total probability and absolute value paradox

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#probability #absolute-value
305
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Simultaneous modulus equations over complex numbers

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#complex-numbers #systems-of-equations #absolute-value
269
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How to get rid of the absolute value when solving a system of complex equations?

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#complex-analysis #systems-of-equations #matlab #absolute-value
111
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metric $d(a,b)=2\frac{|a-b|}{a+b},a,b>0$ satisfies triangle inequality

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#inequality #metric-spaces #fractions #absolute-value
398
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Solving modulus equality for $x$.

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#absolute-value
65
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Absolute Value Inequalities with Two Branches

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#algebra-precalculus #absolute-value
32
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Modulus simplication for $x$

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#absolute-value
100
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Solve the inequality $\left|\frac{1-a}{1+a}\right|<1$

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#inequality #absolute-value
48
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Inequality with absolute value with unknowns

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#inequality #absolute-value
168
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Writing the Piecewise Function?

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#algebra-precalculus #functions #absolute-value
329
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Why there is no absolute value while solving differential equations which results lnx?

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#integration #ordinary-differential-equations #absolute-value
69
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proving $|\lambda_1|<1<|\lambda_2|$.

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#complex-numbers #absolute-value

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