Question

Which lists all the integer solutions of the equation |x| <3

a 0 1 and 2
b 0 1 2 and 3
c -2 -1 0 1 and 2
d -3 -2 -1 0 1 2 and 3

Answer 1

c -2 -1 0 1 and 2

Explanation:

abs (x) < 3

Absolute value equations have 2 solutions, one positive and one negative ( remember to flip the inequality when taking the negative solution).

x<3 and x>-3

-3 <x<3

The integer solutions are -2,-1,0,1-2

We do not include 3 because there is no equals sign on the inequality.