Let us consider 2 sets A = {1,2,3,4} and B = { 5,6}. 1. What is...

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Let us consider 2 sets A = {1,2,3,4} and B = { 5,6}. 1. What is...

Let us consider 2 sets A = {1,2,3,4} and B = { 5,6}. 1. What is {}? 2. What is |A|? 3. What is A union B? 4. What is A intersection B? 5. What is {{}}? 6. What is |{{}}|? 7. What is A x B? 8. What is BxA? 9. If A has 2^5 elements and B has 2^6 elements, how many elements are there in AxB?

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Answer 1

Answer #1

A = {1,2,3,4} and B = { 5,6}.

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1. What is {}?

Ans: it is an empty set.

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2. What is |A|?

Ans: | | it is used to tell about count of element in a set.

|A| = 4

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3. What is A union B?

A U B ={1,2,3,4,5,6}

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4. What is A intersection B?

There is no common element between A and B.

A ∩ B = {}

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5. What is {{}}?

Ans: This notaion is used for set of set. Here it is an set of empty set.

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6. What is |{{}}|?

Ans: size of |{{}}| is 1 because main set contain one empty set.

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7. What is A x B?

Ans: { (1,5) , (1,6) ,(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)}

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8. What is BxA?

Ans: {(5,1),(5,2),(5,3),(5,4),(6,1),(6,2),(6,3),(6,4)}

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9. If A has 2^5 elements and B has 2^6 elements, how many elements are there in AxB?

Ans : A has 32 elements and B has 64 elements.

Then AxB has 32*64 = 2048 elements.

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Answer 2

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