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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 True.
Explanation:
A ⊂ B ⇒ If x ∈ A and x ∈ B
But B ⊂ C ⇒ If x ∈ B then x ∈ C
∴ If x ∈ A then x ∈ A then x ∈ C ⇒ A ⊂ C
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