# Which of the following is an example of two sets A and B such that A ∪ B = A

# (a) A = {1, 2, 6, 7} B = {2, 6, 7} (b) A = {-1, 0, 6, 9} B = {-2, 6, 8}

We will use the operation on sets to answer this.

## Answer: Option(a) A = {1, 2, 6, 7}, B = {2, 6, 7} is an example of two sets A and B such that A ∪ B = A.

We will find the union of sets A and B for each part.

**Explanation:**

For the given sets A and B:

(a) A = {1, 2, 6, 7} and B = {2, 6, 7}. Hence, A ∪ B = {1, 2, 6, 7} ∪ {2, 6, 7} = {1, 2, 6, 7} = A

(b) A = {-1, 0, 6, 9} and B = {-2, 6, 8}. Hence, A ∪ B = {-1, 0, 6, 9} ∪ {-2, 6, 8} = {-1, 0, -2, 6, 8, 9} ≠ A

### Thus, the sets A and B in part (a) satisfies A ∪ B = A

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