How do you solve |4- \frac{2}{3} x | > 8?

1 Answer
Apr 18, 2018

(-oo,-6)U(18, oo)

Explanation:

|4 - 2/3 x| > 8

This is solved by analyzing if the number is + or -
Then

a) 4 - 2/3 x > 8

-2/3 x > 8 - 4

-2/3 x > 4

- x > ((4)(3))/2

- x(-1) > 6(-1)

x < -6

(-oo,-6)

b) - 4 + 2/3 x > 8

2/3 x > 8 + 4

2/3 x > 12

x > ((12)(3))/(2)

x > 18

(18, oo)

Then

(-oo,-6)U(18, oo)