5x-6 < 8
5x < 14
x < 14/5
5x-6 > -8
5x > -2
x > -2/5
so, -2/5 < x < 14/5
or, you can do it as
(5x-6)^2 < 64
25x^2 - 60x +36 < 64
25x^2 - 60x - 28 < 0
(5x+2)(5x-14) < 0
y<0 between the roots, so
-2/5 < x < 14/5
What is the solution of the inequality below?
|5x - 6|<8
1 answer
1 answer