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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 A ⊂ B and B ∈ C, then A ∈ C
Options
True
False
Solution
This statement is False.
Explanation:
Let A = {1}, B = {1, 2} and C = {{1, 2}, 3}
The elements of set A are in set B.
∴ A ∈ B
The elements {1, 2} are in the set C” B ∈ C
But A = {1} is not in the set C.
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