GMAT Practice Question: How many integers x satisfy both 2<x \leq 4 and 0 \leq x \leq 3 ?
Question
How many integers x satisfy both 2<x \leq 4 and 0 \leq x \leq 3 ?
- 5
- 4
- 3
- 2
- 1
Topics: inequalities, number theory, counting evenly spaced integers
Solution
Step 1
We intersect the two ranges by taking the tighter lower and upper bounds that x must satisfy simultaneously.
2 < x \le 4 0 \le x \le 3 \text{Combined: } 2 < x \le 3
Step 2
We list the integers in the combined range and count them.
2 < x \le 3 x \text{ is an integer} x = 3 \text{Count} = 1
Answer
1
