Chapter 1: Sets

Exercise

Question

Question: 6 (x)

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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:

(x) (A ∪ D) ∩ (B ∪ C)

Answer

1
Find the union of sets A and D by finding all distinct elements from both sets.
A $∪$ D = {3, 5, 7, 9, 11, 15, 17}
2
Find the union of sets B and C by finding all distinct elements from both sets.
B $∪$ C = {7, 9, 11, 13, 15}
3
Find the intersection of sets (A ∪ D) and (B ∪ C) by finding all common elements from both sets.
Answer: (A $∪$ D) $∩$ (B $∪$ C) = {7, 9, 11, 15}
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