Question

For which equations below is x = –3 a possible solution? Check all that apply.

|x| = 3
|x| = –3
|–x| = 3
|–x| = –3
–|x| = –3
–|x| = 3

Answer 1

|x|=3

|-x|=3

-|x|=-3

Explanation:

Trick. Both sides of the equation have to be positive or negative. If one is negative is has no solution.

Answer 2

|x|=3, |-x|=3, -|x|=-3. You can check each of the options one by one. First notice that the absolute value of some number can never be negative, so eliminate b, d and f. |-3|=3. |-(-3)|=|3|=3. -|3|=-3. So these three solutions are all correct answers.