How many integers x satisfy both 2<x ≤ 4 and 0 ≤ x ≤ 3?

1 (E). We intersect the two ranges by taking the tighter lower and upper bounds that x must satisfy simultaneously.

GMAT Number Properties: How many integers x satisfy both…

How many integers x satisfy both 2 < x \leq 4 and 0 \leq x \leq 3 ?

inequalitiesnumber theorycounting evenly spaced integers

Explanation	Calculations	Help
$We intersect the two ranges by taking the tighter lower and upper bounds that x must satisfy simultaneously.$	$2 < x \leq 4 0 \leq x \leq 3 Combined: 2 < x \leq 3$
$We list the integers in the combined range and count them.$	$2 < x \leq 3 x is an integer x = 3 Count = 1$

1 (E)