what is the solution of [x + 7]<_15

Question

can you help me through the steps of this problem? please?

 

Answer 1

|x + 7| ≤ 15

 

An absolute value inequality must be solved twice. Once assuming the argument is positive and once assuming the argument is negative.

 

I. If x + 7 ≥ 0

|x + 7| ≤ 15

x + 7 ≤ 15

x ≤ 8 

 

II. If x + 7 < 0

|x + 7| ≤ 15

-(x + 7) ≤ 15

x + 7 ≥ -15

x ≥ -22

 

-22 ≤ x ≤ 8

Answer 2

Lucinda,

 

Are those brackets in your problem really absolute values? Is the inequality symbol < or ≤?

 

Let me know and I will be happy to help you solve this problem.