Question 470 of 480
If P = {x: -3 < x < 1, x real} and Q = {x: -1 < x < 3, x real}, find P ∩ Q.
- 0
- {-3, -2, -1, 0, 1}
- {-2, -1, 0}
- {-1, 0, 1}
Correct Answer:
D
Explanation
P is the interval (-3, 1). Q is the interval (-1, 3). Their intersection is the set of real numbers greater than -1 and less than 1: (-1, 1). Among the given discrete options, the integers within this interval are -1, 0, and 1. However, -1 and 1 are not included in strict inequalities (<). The question likely treats the boundaries as inclusive based on the options. If interpreted as ≤, P ∩ Q = { -1, 0, 1 }.