Answer
Converse: If |x| = 6, then x = -6.
Counter Example: x = 6
Work Step by Step
To find the converse of a statement, you must switch the hypothesis and the conclusion, without changing the If-Then format.
In this case, the statement is:
If x = -6, then |x| = 6
Therefore, the converse is:
If |x| = 6, then x = -6
However, if x=6, the absolute value of x is 6. Thus, if the absolute value of x is 6, it does not mean that $x=-6$, making the converse false.
