Question

Find the solution of the inequality $|x^2-2x-3|<|x^2-x+5|$

• A. $(-8,\infty )$
• B. $(8,\infty )$
• C. $(-\infty ,-8)$
• D. $(-\infty ,8)$

Answer 1

The correct option is A $(-8,\infty )$

$|x^2-2x-3|<|x^2-x+5|$
$\Rightarrow x^2-2x-3<x^2-x+5\Rightarrow -x<8$
$\Rightarrow x>-8$
$\Rightarrow x\in (-8,\infty )$