#### Answer

False

#### Work Step by Step

We are given the statement $-10\gt-|-4|$.
$-|-4|=-(4)=-4$
Therefore, the statement is equivalent to $-10\gt-4$, which states that -10 has a value that is greater than or equal to -4. Since, -10 is to the left of -4 on the number line, it must have a value that is less than that of -4. The statement is false.