Question

Which of the following is the solution to | X-13 |< 18 ?

) A. x<31 and x > -5
O
B. x < 31
C. X<31 or x>-5
O
D. x <31 and x < -5
O

Answer 1

A. x<31 and x > -5

Explanation:

| X-13 |< 18

Seperate into 2 equations, one positive and one negative, remembering to flip the inequality for the negative

x-13 < 18 and x -13 > -18

Add 13 to each side

x-13+13 < 18+13 and x-13+13> -18+13

x < 31 and x>-5