Question

What is the solution set for

∣ 4− x/2 ∣= 8
a) x=−4
b) x=−12
c) x=4
d) x=12

Answer 1

The solution set for |4 - x/2| = 8 is {x = -8, x = 24}.

Step-by-step explanation:

To find the solution set for the equation |4 - x/2| = 8, we can split it into two separate equations:

4 - x/2 = 8 or -(4 - x/2) = 8

Solving the first equation, we have:

4 - x/2 = 8

-x/2 = 8 - 4

-x/2 = 4

x/2 = -4

x = -8

Solving the second equation, we have:

-(4 - x/2) = 8

-4 + x/2 = 8

x/2 = 8 + 4

x/2 = 12

x = 24

Therefore, the solution set for |4 - x/2| = 8 is {x = -8, x = 24}.