Solve the equation with the problem set {-28,-8,8,28} |10-x|=18

{-8,28}

Step-by-step explanation:

|10-x|=18

The absolute value has two solutions, one positive and one negative.

10-x = 18   and 10-x = -18

Subtract 10 from each side

10-10-x = 18-10     10-10-x=-18-10

-x = 8                     -x = -28

Multiply each side by -1

x = -8                      x = 28

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed