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Solve for x: (2/3)^((|x|-1)/(|x|+1)) gt ...

Solve for x: `(2/3)^((|x|-1)/(|x|+1)) gt 1`

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To solve the inequality \((\frac{2}{3})^{\frac{|x|-1}{|x|+1}} > 1\), we can follow these steps: ### Step 1: Understand the inequality The expression \((\frac{2}{3})^{\frac{|x|-1}{|x|+1}} > 1\) means that the exponent must be negative because the base \(\frac{2}{3}\) is less than 1. ### Step 2: Set up the inequality Since \((\frac{2}{3})^y > 1\) implies \(y < 0\), we can write: \[ ...
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