Chapter 1: Sets

Exercise

Question

Question: 6 (iii)

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If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find:

(iii) A ∩ C ∩ D

Answer

1
Find the intersection of sets A and C by finding all common elements from both sets.
A $∩$ C = {11}
2
Find the intersection of sets (A ∩ C) and D by finding all common elements from both sets.
Answer: A $∩$ C $∩$ D = $∅$
Reason: Sets (A $∩$ C) and D have no common elements. Therefore, they are disjoint sets.
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