Question

2 Points

Which of the following is the solution to | x-151<4?
O
A. x< 19
O
O
O
B. x > 19 and x < 11
C. 11 D. x>11

Answer 1

11<x<19

Explanation:

| x-15|<4

There are two solutions to absolute value equations one positive and one negative, remember to flip the inequality for the negative solution

x-15 <4 and x-15 > -4

Add 15 to each side

x-15+15 <4+15 and x-15+15 > -4+15

x<19 and x> 11

We can rewrite this as

11<x<19