Question

What is the solution set of |4x - 3| - 2 > 3?

x < -0.5 or x > 8
x < 0.5 or x > 8
x < -0.5 or x > 2
x < -2 or x > 2
Not sure how to set this up.. ?

Answer 1

add 2 first

Answer 2

get
\[|4x-3|>5\] then remove absolute value signs and solve two inequalities
\[4x-3<-5\] or \[4x-3>5\] separately, you will get two different intervals as your solution