Question 25 of 47beginner🔧 ApplyShort Answer4 marks
If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find
(i)
A ∩ B
Answer
{7, 9, 11}
(ii)
B ∩ C
Answer
{11, 13}
(iii)
A ∩ C ∩ D
Answer
∅ (empty set)
(iv)
A ∩ C
Answer
{11}
(v)
B ∩ D
Answer
∅ (empty set)
(vi)
A ∩ (B ∪ C)
Answer
{7, 9, 11}
(vii)
A ∩ (B ∪ D)
Answer
{7, 9, 11}
(ix)
(A ∩ B) ∩ (B ∪ C)
Answer
{7, 9, 11}
Explanation
This question tests understanding of intersection (∩) and union (∪) of sets. The intersection of two sets contains only elements common to both sets. The union contains all elements from both sets. For multi-step operations, solve inner brackets first.