Question

|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

$|1-4x| > 7\iff1-4x > 7\ \vee\ 1-4x < -7\ \ \ |-1\\\\-4x > 6\ \vee\ -4x < -8\ \ \ |:(-4)\\\\x < -1.5\ \vee\ x > 2\\\\Answer:\boxed{B.\ \{x:x < -1.5\ \cup\ x > 2\}}$