C⊆A or C⊆B ⇔ C⊆(A∪B)
is the statement above correct or false?
please include your prove.
False. Counterexample: A={1,2}, B={2,3}, C={1,2,3}. Then C⊆(A∪B) but C is not a subset of A, nor of B.
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False. Counterexample: A={1,2}, B={2,3}, C={1,2,3}. Then C⊆(A∪B) but C is not a subset of A, nor of B.