Work Step by Step
We are given the statement $-8\gt-|-6|$. $-|-6|=-(6)=-6$ Therefore, the statement is equivalent to $-8\gt-6$, which states that -8 has a value that is greater than or equal to -6. Since, -8 is to the left of -6 on the number line, it must have a value that is less than that of -6. The statement is false.