Question

Solve the inequality |x| < 5. {x|-5 < x < 5} {x|x < -5 ∪ x > 5} {x|x -5 ∪ x < 5}

Answer 1

ANSWER

The correct answer is A

{$x|-5<\:x<\:5$}

EXPLANATION

$|x|<5$

This implies that

$x<5\:or\:-x<5$

We solve the compound inequality to obtain,

$x<5\:or\:x>-5$

Remember that, dividing through by negative 1 reverses the inequality sign

The solution set is

{$x|-5<\:x<\:5$}