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Definition of Functions

If 1| a | >...

Question

If $\frac{1}{| a |} > \frac{1}{b}$ , then $| a | < b$ , where a & b are non-zero real numbers.

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Solution

If $\frac{1}{| a |} > \frac{1}{b}$
Multiplying both sides by $| a |$
$1 > \frac{| a |}{b}$
Multiply both sides by $6$
$b > | a |$

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