Question

1. Solve |x| < 13

A) {-13, 13}
B) x
C) x

2. |x| > 4
A) {-4, 4}
B) -4 < x < 4
C) x < -4 or x > 4

Answer 1

B) x

C) x < -4 or x > 4

Explanation:

Given in the question,

1.

|x| < 13

Remove the absolute value term.

If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:

-(number on other side) < (quantity inside absolute value) < (number on other side)

-13 < x < 13

2.

|x| > 4

If your absolute value is greater than a number, then set up an "or" compound inequality that looks like this:

(quantity inside absolute value) < -(number on other side)

OR

(quantity inside absolute value) > (number on other side)

x < - 4 or x > 4