Question 14
Sets and LogicGiven that P = {x : 2 ≤ x ≤ 8} and Q = {x : 4 < x ≤ 12} are subsets of the universal set μ = {x : x ∈ R}, find (P ∩ Q′).
- A.{x : 4 ≤ x ≤ 8}
- B.{x : 2 ≤ x ≤ 4}
- C.{x : 4 < x < 8}
- D.{x : 2 < x ≤ 4}
Show the answer and explanation
Answer: B ({x : 2 ≤ x ≤ 4})
Explanation
Q′ = {x ≤ 4 or x > 12}. The part of P (2 to 8) that lies in Q′ is 2 ≤ x ≤ 4.