Respuesta :

Answer:

m=0,-8

Step-by-step 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

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