Question

solve |1 - 4x| > 7 a. {x|x < -1.5 ∪ x > 1.5} b. {x|x < -1.5 ∪ x > 2} c. {x|-1.5 < x < 2}

Answer 1

|1 - 4x| > 7
(1 - 4x) > 7 or (1 - 4x) < -7
-4x > 7 - 1 or -4x < -7 - 1
-4x > 6 or -4x < -8
x < 6/-4 or x > -8/-4
x < -1.5 or x > 2
{x|x < -1.5 ∪ x > 2}