Question

Solve |x - 1|>4 a. {x|x< -5 or x> 5} b. {x|-3< x< 5} c. {x|x< -3 or x> 5}

Answer 1

|x - 1| > 4 ⇔ x - 1 > 4 or x - 1 < -4  |add 1 to both sides

x > 5 or x < -3

Answer: c. {x| x < -3 or x > 5}.