Question

What are the integer solutions of the inequality |x| < 4?

a. –3, –2, –1, 0, 1, 2, and 3
b. 0, 1, 2, 3, and 4
c. –4, –3, –2, –1, 0, 1, 2, 3, and 4
d. 0, 1, 2, and 3

Answer 1

`|x|\ \textless \ 4\\ x\ \textless \ 4 \wedge x\ \textgreater \ -4\\ x\in(-4,4)\\\\ x\in(-4,4) \wedge x\in \mathbb{Z}\\ x\in\{-3,-2,-1,0,1,2,3\}`