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What is the solution set for StartAbsoluteValue 4 minus StartFraction x over 2 EndFraction EndAbsoluteValue = 8?
A.x = negative 24 and x = negative 8
B.x = negative 24 and x = 24
C.x = negative 8 and x = 8
D.x = negative 8 and x = 24

Respuesta :

clarch19

Answer:

D

Step-by-step explanation:

|4 - x/2| = 8

solve it first as though there were no absolute value bars

4 - x/2 = 8

-x/2 = 4

-x = 8

x = -8

now solve it after distributing a negative one

-(4 - x/2) = 8

-4 + x/2 = 8

x/2 = 12

x = 24

selarodriguez
D

What is the solution set for StartAbsoluteValue 4 minus StartFraction x over 2 EndFraction EndAbsoluteValue = 8?
A.x = negative 24 and x = negative 8
B.x = negative 24 and x = 24
C.x = negative 8 and x = 8
D.x = negative 8 and x = 24