If x^2 < 4 then the value of x is: - Vidyadip

MCQ

If $x^2 < 4$ then the value of $x$ is:

A
$(0, 2)$
✓
$(-2, 2)$
C
$(-2, 0)$
D
None of these

✓

Answer

Correct option: B.

$(-2, 2)$

Given, $x^2 < 4$
$\Rightarrow x^2– 4 < 0$
$\Rightarrow (x – 2) \times (x + 2) < 0$
$\Rightarrow -2 < x < 2$
$\Rightarrow x \in (-2, 2)$

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