Question

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

x > –1.5 or x > 3

x < 1.5 or x > 3

x < –3 or x > 3

x < –1.5 or x > 3

Answer 1

i am sure .sam will give a good explanation, but before you even start you should know that the solution to \(|\text{something}|>\text{junk}\) will be TWO INTERVALS looking like \[x<a\] or \[x>b\]

Answer 2

|4x – 3|+ 2 > 11
Substract 2 to both sides
|4x – 3| > 9


Set it
(4x – 3)> 9 AND (4x-3)<-9
Then solve for x