Question

In: Advanced Math

Decide, with justification, if the following set properties are true for any sets A, B, and...

Decide, with justification, if the following set properties are true for any sets A, B, and C.

1. A∪(B∩C)⊆A.

2. A∪(B∩C)⊆B.

3. A ∩ B ⊆ A

4. B ⊆ A ∪ B
5. A ⊆ B ⇒ A ∪ B ⊆ B.

6. A ∪ B ⊆ B ⇒ A ⊆ B.

7. A⊆B⇒A∩B=A.

8. A ∩ B = A ⇒ A ⊆ B
9. A∩(B∪C)⊆A∪(B∩C)
10. A∪(B∩C)⊆A∩(B∪C)
11. A\(B∩C)=(A\B)∪(A\C)

Solutions

Expert Solution

Colby Messinger answered 10 months ago
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