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If A ∩ B = A then find the value of A ∪ B.

If A ∩ B = A then find the value of A ∪ B. Correct Answer B

Concept: 

Union of the sets: 

Union of two given sets is the set that contains those elements that are either in A or in B, or in both.

The  union of the sets A and B, denoted by A U B

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Intersection of Sets:

The intersection of two given sets is the largest set which contains all the elements that are common to both sets.

The intersection of Sets A and B, denoted by A ∩ B

[ alt="F2 A.K Madhu 05.06.20 D3" src="https://storage.googleapis.com/tb-img/production/20/06/F2_A.K_Madhu_05.06.20_D3.png" style="width: 161px; height: 108px;">

Formula:  A ∪ B = A + B - A ∩ B

Calculation:

Given: A ∩ B = A

To Find: A ∪ B

As we know, 

A ∪ B = A + B - A ∩ B

⇒ A ∪ B = A + B - A

∴ A ∪ B = B

Related Questions

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