Answer:
B) {x|-13 < x < 13}
C) {x|x < -4 or x > 4}
Step-by-step 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
