Question

for each mathematical statement below determine if it's always, sometimes, or never true.

a. |m-n| = |m| - |n|
b. b + (-b) = 0

Answer 1

|6-4| = |6|-|4| = 6-4 = 2
|4-6| ≠ |4|-|6| = 4-6 = -2

-b is the additive inverse of b, so the statement is always true.

Answer 2

thanks