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Question
Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If x ∈ A and A ∈ B, then x ∈ B
Options
True
False
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Solution
This statement is False.
Explanation:
Let A = {1}, B = {{1}, 2}. Now, 1 ∈ A, A ∈ B, but 1 ∉ is the set B because 1 is not in B.
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