Question

1. Solve |x| < 13

Answer 1

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