Determine if conjecture: true or false the difference between two negative numbers is always negative

We can prove it false with a counter-example

-4-(-2)=-4+2=-2, true
-2-(-4)=-2+4=2, not negative, that's our counterexample

false, the question sais 'always' but we found at least 1 instance where it is false and therfor it is a false statement

5|7-9|-2 the answer of this evaluation