Find the solution set of this inequality. select the correct graph. |-4x+14|>6

Split the inequality into two:

(-4x+14) >6 & - (-4x+14) >6

solve:

(-4x+14) >6

-4x>-8

x<2

(symbol changes when : / * by negative for inequalities.)

- (-4x+14) >6

-4x+14<-6

-4x<-20

x>5

the answers are x5, so you would write your answer like this: (-∞,2) ∪ (5,∞)