Question

Which compound inequality involves <, > when solving absolute value inequalities?

a. x < 5 or x > -5
b. x > 5 or x < -5
c. x < 5 and x > -5
d. x > 5 and x < -5

Answer 1

The compound inequality that involves < and > when solving absolute value inequalities is x > 5 or x < -5.

Step-by-step explanation:

The compound inequality that involves < and > when solving absolute value inequalities is option b. x > 5 or x < -5.

When solving absolute value inequalities, we consider two cases: when the expression inside the absolute value is positive and when it is negative. In the case of x > 5, the expression inside the absolute value is positive, and in the case of x < -5, the expression inside the absolute value is negative.

Therefore, the correct compound inequality is x > 5 or x < -5.