Answer:
m=0,-8
Explanation:
Rearrange this Absolute Value Equation
|m+4|+7 = 11
Another term is moved / added to the right hand side.
|m+4| = 4 STEP 2:
Clear the Absolute Value Bars
The Absolute Value term is |m+4|
For the Negative case we'll use -(m+4)
For the Positive case we'll use (m+4)
STEP3:Solve the Negative Case
-(m+4) = 4
Multiply
-m-4 = 4
Rearrange and Add up
-m = 8 Multiply both sides by (-1)
m = -8
Which is the solution for the Negative Case
STEP4:Solve the Positive Case
(m+4) = 4
Rearrange and Add up
m = 0
Which is the solution for the Positive Case
STEP5:
Wrap up the solution
m=-8
m=0
Solutions on the Number Line
Two solutions were found :
m=0,M=-8