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Q4 of 162 Page 1

For any two sets A and B, prove that

A ⊂ B A ∩ B = A

Let


p ϵ A ⊂ B.


⇒ x ϵ B


Let and p ϵ A ∩ B


⬄ x ϵ A and x ϵ B


∴ (A ∩ B) = A.


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4

For any two sets A and B, prove that

B ⊂ A ∪ B

4

For any two sets A and B, prove that

A ∩ B ⊂ A

5

For any two sets A and B, show that the following statements are equivalent:

A ⊂ B

5

For any two sets A and B, show that the following statements are equivalent:

A – B = ϕ

Questions · 162
1. Sets
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