Question

What is the solution set for |x+3|=5?

Answer 1

Answer:

  x = -8 and x = 2

Step-by-step explanation:

The given equation resolves into two:

• x + 3 = 5
• -(x +3) = 5

The solution to the first can be found by subtracting 3:

  x = 2

The solution to the second can be found by multiplying by -1, then subtracting 3.

  x +3 = -5

  x = -8

The solution set is {-8, 2}.