Question

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

S=-9 and 5=8
S=-2 and S=2
S=-8 and 5= 2
S= 2 and 5=8
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Answer 1

x = -8 and x = 2

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}.