Question

Which of the following is the solution set of -21xl <-8

Answer 1

Answer:

$x\:>\:4$ or $x\:$

Step-by-step explanation:

The given absolute value inequality is $-2|x|\:$

Divide both sides of the inequality by -2 and reverse the inequality sign:

$|x|\:>\:4$

By the definition of the absolute value function;

Either $x\:>\:4$ or $-x\:>\:4$

Divide through the rightmost inequality by -1 and reverse the sign.

This implies that:

$x\:>\:4$ or $x\:$