Question

What is the solution to |x+2|<1?

A. 1 OB. -3 C. x> 3 or x< 1
OD. x>-1 or x < -3

Answer 1

-3 < x < -1

Explanation:

|x+2|<1

There are two possible solutions to the absolute value inequality

x+2<1 and x+2 > -1

Subtract 2 from each side

x+2-2 <1-2 and x+2-2 >-1-2

x < -1 and x > -3

-3 < x < -1