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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 x ∉ B, then x ∉ A
Options
True
False
Solution
This statement is True.
Explanation:
Let A ⊂ B and x ∉ B.
Now, x ∉ A
If possible, suppose x ∈ A.
Then, x ∈ B, which is a contradiction as x ∉ B
∴ x ∉ A
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