Question

What are the integer values of $x$ which would satisfy the inequalities $x>-2$ and $x\le 2$?

• A. $-1,0,1,2$
• B. $-1,0,1,2,3$
• C. $-2,-1,0,1,2$
• D. $-2,-1,0,1,2,3$

Answer 1

The correct option is A $-1,0,1,2$

Given inequalities are $x>-2$ and $x\le 2$
Therefore, $x\in (-2,2]$
However $x$ is an integer.
Therefore integral values of $x$ for $x\in (-2,2]$ are ... $(2$ is included in the solution set but $-2$ is not since $-2<x\le 2)$
$-1,0,1,2$
Hence, correct answer is option $A$.