Question

If $|x|>-5$, then which of the following can be true?

• A. $x\in (-5,5)$
• B. $x\in (-5,-1)$
• C. $x\in (-100,-87)$
• D. $x\in (0,5)$

Answer 1

Answer: (A), (B), (C), (D)

$x\in (0,5)$

Given that $|x|>-5$

Using the property:
$|x|>a;a<0$
$\Rightarrow x\in R$
$\Rightarrow x\in (-\infty ,\infty )$

Here $|x|>-5$, $x$ can have any real number as its value.