Question 1
Sets and LogicIf P = {x : −2 < x < 5} and Q = {x : −5 < x < 2}, are subsets of μ = {x : −5 ≤ x ≤ 5}, where x is a real number, find P ∪ Q.
- A.{x : −5 < x < 5}
- B.{x : −5 ≤ x ≤ 5}
- C.{x : −5 ≤ x < 5}
- D.{x : −5 < x ≤ 5}
Show the answer and explanation
Answer: A ({x : −5 < x < 5})
Explanation
Q covers −5 < x < 2 and P covers −2 < x < 5; together they cover −5 < x < 5 (neither endpoint is included).