Question

What is the solution set of |4x – 3|+ 2 > 11?

Answer 1

|4x – 3|+ 2 > 11 <===> |4x – 3| > 9 <===> 4x-3 >9 ==> 4x>12 ==> x>3 or 4x-3 <-9 ==> 4x<-6 ===> x<-3/2

Answer 2

the options are
x > –1.5 or x > 3

x < –1.5 or x > 3

x < –3 or x > 3

x < 1.5 or x > 3

Answer 3

(-infinity,-3/2) U (3, +infinity)

Answer 4

|4x - 3| + 2 > 11
|4x - 3| > 9
-9 > 4x - 3 > 9
-6 > 4x > 12
-3/2 > x > 3

x > 3 or x < -3/2
(-∞, -3/2) U (3, ∞)