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Find the value of x for which following ...

Find the value of `x` for which following expressions are defined: `1/(sqrt(x-|x|))` (ii) `1/(sqrt(x+|x|))`

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To find the values of \( x \) for which the given expressions are defined, we will analyze each expression separately. ### Expression 1: \( \frac{1}{\sqrt{x - |x|}} \) 1. **Condition for the expression to be defined**: The expression \( \frac{1}{\sqrt{x - |x|}} \) is defined when the denominator is positive. Thus, we need: \[ x - |x| > 0 \] ...
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