Question

Solve for m.

4 + | 7 - m | = 5

a.) m = 16 or m = -2
b.) m = 6 or m = 8
c.) m = 2 or m = -8
d.) m = 2 or m=16

Answer 1

`4 + | 7 - m | = 5`

`4+\left|7-m\right|-4=5-4`

`\left|7-m\right|=1`

`7-m=-1\: or \:7-m=1`

`m=6\: or \:m=8`

Answer 2

m = 6 .......................