Solve the inequality |x − 6| − 10 < 1 write the answer as a compound inequality answers are; −5 > x > 17 −11 < x < 11 x < 17 −5 < x < 17

|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11

1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)

1)x<17
2)x>-5

so we get -5 < x < 17

the (-5; 17)