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Q. If $|x + 5| \ge \,10 $ , then

KCETKCET 2018Linear Inequalities

Solution:

Given $| x + 5 | \, \ge \,10$
$\Rightarrow \, x + 5 \le - 10$ or $x + 5 \ge \,10$
$\Rightarrow \, x \le - 15$ or $x \ge\, 5$
$\Rightarrow \, x \in (- \infty, -15] \cup [5, \infty)$