Answer:
The third option, {-8, 8}
Explanation:
To find the solution set of the equation -|x| = -8, we need to solve for x. Let's break it down step by step:
Step 1: Remove the negative sign on both sides.
To eliminate the negative sign in front of the absolute value, we can multiply both sides of the equation by -1:
=> -1 * (-|x|) = -1 * (-8)
=> |x| = 8
Step 2: Solve for x when the absolute value is positive.
In this case, the absolute value |x| is equal to 8, which means x can be either positive or negative 8:
=> x = 8 or x = -8
Thus, we have two potential solutions: x = 8 and x = -8.
Therefore, the solution set of the equation -|x| = -8 is {-8, 8}, which represents the set of values that satisfy the equation.