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.