Question

Rewrite the compound inequality as an absolute value inequality in one variable.

Answer 1

Answer:

Solution: x < -2 or x > 16

Step-by-step explanation:

x − 7 < −9 or x − 7 > 9

x − 7 < −9 : x − 7 > 9

x - 7 < -9

Add 7 to both sides

x - 7 +7 < -9 + 7

Simplify

x < -2

x - 7 > 9 : x > 16

x - 7 > 9

Add 7 to both sides

x - 7+7 > 9 +7

Simplify

x > 16

Combine the intervals

x < -2 or x > 16