Rewrite the compound inequality as an absolute value inequality in one variable.
x − 7 < −9 or x − 7 > 9

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

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.