## Precalculus (6th Edition)

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