First slide

Operations on Sets

Question

If A = {1, 3, 5, 7, 9, 11, 13, 15, 17}, B = {2, 4, 6, 8, 10, 12, 14, 16, 18} and N, the set of natural numbers is the universal set, then $A' \cup [(A \cup B) \cap B']$ is

Moderate

A

A
B

A'
C

B
D

N

Solution

$(A \cup B) \cap B' = A a s A \cap B = ϕ$
$A' \cup [(A \cup B) \cap B'] = A' \cup A = N$

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