|2x + 1| = 3

Question

Solve the inequality. Express the answer using interval notation.

Answer 1

First step is seperate this inequality into two parts. First part is 2x+1=3,second part is 2x+1=-3.

 

Second step is solving the first part. 2x+1=3. 2x=3-1 2x=2. X=1

 

Third step is solving the second part. 2x+1=-3, 2x=-3-1, 2x=-4,x=-2.

 

so this question has two answers: x=1 or x=-2