Question

If A={1,2,3,4,5} B={2,4} C={1,3,5} Find AnB, BnC; A-B, B-A

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Answer 1

AnB=(1,2,3,4,5)n(2,4)

=(2,4)

BnC=(2,4)n(1,3,5)

=( )

A-B=(1,2,3,4,5)-(2,4)

(1,3,5)

B-C=(2,4,)-(1,2,3)

=(4)

Answer 2

Given,

• A = {1,2,3,4,5}
• B = {2,4}
• C = {1,3,5}

We have to find,

• A ⋂ B
• B ⋂ C
• A - B
• B - A

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Firstly, A ⋂ B is a set of elements that are both in set A and set B.

⇒ A ⋂ B = {2,4}

Since, Only 2 & 4 are common in sets A and B.

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Similarly, B ⋂ C is a set of elements that are both in set A and set B.

⇒ B ⋂ C = {1,3,5}

Since, Only 1, 3 & 5 are common in sets B and C.

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Here, A - B signifies elements that are present only in set A and not B.

⇒ A - B = {1,3,5}

Since, 2 & 4 are present in both sets and 1,3 & 5 are only in set A.

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Similarly, B - A signifies elements that are present only in set B and not in set A.

⇒ B - A = ɸ

Because, There are no elements of set B that are not present in set A. as B ⊂ A