Solve for y and write your answer in interval notation 4x2 2

Solve for y and write your answer in interval notation: |4-x/2| <3

Solution

| 4 - x/2 | <3

for ( 4 -x/2) >0

(4 -x/2 ) <3

1< x/2 ----> x >2

x>2

for (4 -x/2) <0

-(4 -x/2) <3

-4 +x/2 <3

x/2 < 7

x< 14

So, 2<x < 14

Interval notation : ( 2, 14)