The correct option is C x lt; 2 and x gt; 2|x| lt; 2 ⇒ x lt; 2 and 2 lt; x Re writing the inequality, we have ⇒ 2 lt; x lt; 2 ...

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Properties of absolute inequality

If | x |<2, w...

Question

If $| x | < 2$ , what are the range of values for x?

x < 2

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x < - 2

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x < 2 a n d x > - 2

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x > 2 a n d x < - 2

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Solution

The correct option is C $x < 2 a n d x > - 2$
$| x | < 2$
$\Rightarrow x < 2 a n d - 2 < x$
Re-writing the inequality, we have
$\Rightarrow - 2 < x < 2$

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