Question

Which of the following is(are) the solution(s) to 4 |x+3|>8

Answer 1

x>-1 or x<-5

Explanation:

4 |x+3|>8

Divide each side by 4

4/4 |x+3|>8/4

|x+3|>2

Absolute value inequalities have 2 solutions, one positive and one negative

Remember to flip the inequality when finding the negative solution

x+3 >2 or x+3 <-2

Subtract 3 from each side

x+3-3>2-3 or x+3-3 <-2-3

x>-1 or x<-5