Identify the solution of the inequality

Question

|x + 3| - 3 ≥ 1

Answer 1

Begin by adding 3 to each side of the inequality.

Then you should know how to solve for the two answers.

 

x+3 ≥ 4      OR     x+3 ≤  -4

 

The solution is a DISJUNCTION, consisting of two rays,

one pointing to the right, from 1,

the other pointing to the left, from -7.

 

The solution is usually written in INTERVAL NOTATION using the UNION symbol ∪ to represent "OR."  I leave that to lyou, if that's the convention used in your class.