Solve the inequality Express the answer using interval notat

Solve the inequality. Express the answer using interval notation. |x - 10/2|

Solution

| ( x- 10 ) / 2 | < 6

removing absolute value bars we get

-6    < (x-10)/2 < + 6

multiplying entire side by 2

-12   < x-10 < + 12

adding 10 on the entire side

-2 < x < 22

solution set is ( -2 , 22)