What is the solution set of −|−x|=−12?

1 Answer
smendyka
Dec 17, 2016

x=−12 and x=12

Explanation:

First, we must isolate the absolute value term while keeping the equation balanced:

−1×−|−x|=−1×−12

|−x|=12

Now, because the absolute value function takes a positive or a negative number and transforms it to a positive number. we must solve the term within the absolute value for both the positive and negative of the term on the other side of the equation:

Solution 1)

−x=12

−1×−x=−1×12

x=−12

Solution 2)

−x=−12

−1×−x=−1×−12

x=12

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