Question

What are the solutions to the absolute value equation shown below

(x+6)−2=0?

A. {-4, 8}
B. {-8, -4}
C. {-8, 4}
D. {4, 8}.

Answer 1

The solution to the absolute value equation (x+6)-2=0 is x = -4. This corresponds to option B: {-8, -4}.

Step-by-step explanation:

To find the solutions to the absolute value equation (x+6)-2=0, we need to isolate the absolute value expression and then solve for x.

Step 1: Add 2 to both sides of the equation to eliminate the -2. This gives us (x+6)=2.

Step 2: Subtract 6 from both sides of the equation to isolate the x variable. This gives us x = -4.

Therefore, the solution to the absolute value equation is x = -4. This corresponds to option B: {-8, -4}.