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Question
State whether the following pairs of sets are disjoint.
{1, 2, 3, 4} and {x : x is a natural number and 4 ≤ x ≤ 6}
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Solution
Let A = {1, 2, 3, 4}
B = {x : x is a natural number and 4 ≤ x ≤ 6} = {4, 5, 6}
Therefore, A ∩ B = {1, 2, 3, 4} ∩ {4, 5, 6} = {4}
Hence, A and B are not disjoint sets.
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