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प्रश्न
Determine whether the following statement is true or false. Justify your answer.
For all sets A, B, and C, if A ⊂ C and B ⊂ C, then A ∪ B ⊂ C
पर्याय
True
False
उत्तर
This statement is True.
Explanation:
Let x ∈ A ∪ B
⇒ x ∈ A or x ∈ B
⇒ x ∈ C or x ∈ B ......[∵ A ⊂ C and B ⊂ C]
⇒ x ∈ C
⇒ A ∪ B ⊂ C
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