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Home > AC > Chapter 10 > Lesson 10.2.5 > Problem 10-95

10-95.

Subtract 13 from both sides.

Square both sides.
x − 1 = 0

x = 1

Divide both sides by 6.

|x| > 3

Find the boundary point(s).
x = −3 or x = 3

Test x = −4, x = 0, and x = 4.

6|− 4| > 18 24 > 18 True
6|0| > 18 0 > 18 False
6|4| > 18 24 > 18 True

x < −3 or x > 3

3x − 2 = 2 or 3x − 2 = −2

Add 2 to both sides.
3x = 4 or 3x = 0

Multiply the equation by 30.

24 − 20x = 9

Subtract 24 from both sides.
−20x = −15

Divide by −20 on both sides and simplify.

Follow the steps shown in parts (b) and (c).

See the hints and steps provided in the previous parts of this problem.