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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 }.
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