Question 15
Sets and LogicGiven that P = {x : x is a multiple of 5}, Q = {x : x is a multiple of 3} and R = {x : x is an odd number} are subsets of μ = {x : 20 ≤ x ≤ 35}, find (P ∪ Q) ∩ R.
- A.{20, 21, 25, 30, 33}
- B.{21, 25, 27, 33, 35}
- C.{20, 21, 25, 27, 33, 35}
- D.{21, 25, 27, 30, 33, 35}
Show the answer and explanation
Answer: B ({21, 25, 27, 33, 35})
Explanation
P = {20, 25, 30, 35}, Q = {21, 24, 27, 30, 33}. Their union's odd members are 21, 25, 27, 33, 35.