Question

Which one of the following is true? a) A ∅ = ∅ b) A∩ ∅ = ∅ c) A = ∅ d) A∩ = ∅

Answer 1

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Class 11

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>>If A = a,b,c,d,e, B = a,c,e,g and C = b,

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If A={a,b,c,d,e}, B={a,c,e,g} and C={b,d,e,g} then which of the following is true?

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Solution

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Correct option is D)

For the given sets,

(A∪B)= { a,b,c,d,e,g} (Combination of all elements of both sets)

Clearly, elements of C are a part of A∪B as well,

So, C⊂(A∪B)

And, (A∩B)= { a,c,e} (Common elements of both sets )

As the elements of C are not completely a part of A∩B , Option B is not True.

Also,

(A∪C)= { a,b,c,d,e,g}

Clearly, (A∪B)=(A∪C)

Hence, both first option and third options are True.