Question

if A={1, 2,3}, B={4, 5,6} find A union B and A intersect B​

Answer 1

Answer:

Union ( ∪ )  is basically additional of two sets left behind common values of sets. In the given sets there is no common value except ø.

• Union of A and B= A∪B={1 ,2, 3, 4, 5, 6}

Intersection ( ∩ ) means the common elements present in the sets. In the given sets, there is no common values so there intersection can be expressed as:

• Intersection of A and B= A∩B=ø or {}.

Answer 2

Solution -

We have two sets A and B.

• A = {1, 2, 3}
• B = {4, 5, 6}

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For finding A union B, we have to write all the elements that sets A and B contains.

⇢ A∪B = {1, 2, 3} ∪ {4, 5, 6}

⇢ A∪B = {1, 2, 3, 4, 5, 6}

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For finding A intersection B, we have to write those elements which are common in both sets A and B.

As we can see there is no elements that is common in set A and set B. So we simply write

⇢ A∩B = {}, or

⇢ A∩B = Φ

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⠀⠀⠀⠀⠀More to know !!

★ A set is a collection of distinct elements.

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★ Some symbols related to sets

• ∪ = union
• ∩ = intersection
• Φ = fi
• ⊆ = subset