Question

|x - 1| > 4 is equivalent to which of the following?

a. -3 < x < 5
b. x > 5
c. x > 5 or x < −3
d. x < 5

*show your work*

Answer 1

C. x > 5 or x < - 3

Explanation:

• |x - 1| > 4

Step 1:

x - 1 > 4

x > 4 + 1

x > 5

Step 2:

x - 1 < -4

x < -4 + 1

x < -3

HP: {x > 5 or x < -3} (c)