#### Answer

The statement is false.
The correct statement will be:
$|a-b| = |a| - |b|, \text{ if }a \gt b \gt 0$

#### Work Step by Step

The statement is false.
Since $b\gt a$, then
$|a| - |b|$ will be negative, which makes $|a-b| \gt |a|-|b|$
The correct statement will be:
$|a-b| = |a| - |b|, \text{ if }a \gt b \gt 0$