Question

Solve the inequality.
|11 – xl < 20
[?] < x < [ ]

Answer 1

-9<x<31

Explanation:

|11 – xl < 20

There are two solutions, one positive and one negative, remember to flip the inequality for the negative

11-x < 20 and 11 -x > -20

Subtract 11 from each side

11-x-11 <20-11 and 11-x-11 >-20-11

-x <9 and -x > -31

Multiply each side by -1, remembering to flip the inequality

x>-9 and x< 31

-9<x<31