Question

16. Let A and B be sets. Show that: a) (A ∩ B) ⊆ A b) A ⊆ (B ∪ A) 18. Let A, B, and C be sets. Show that: a) (A ∩ B ∩ C) ⊆ (A ∩ B) 20. Show that if A and B are sets with A ⊆ B, then: a) A ∩ B = A b) A ∪ B = B

Name: 16 let a and b be sets show that a a b a b a b a 18 let a b and c be sets show that a a b c a b 20 show that if a and b are sets with a b then a a b a b a b b 51209
Uploaded: 2023-07-01T11:41:25-08:00
Duration: 2 min 35 s
Channel: Adi S
Description: 16 let a and b be sets show that a a b a b a b a 18 let a b and c be sets show that a a b c a b 20 show that if a and b are sets with a b then a a b a b a b b 51209

          16. Let A and B be sets. Show that:
a) (A ∩ B) ⊆ A
b) A ⊆ (B ∪ A)

18. Let A, B, and C be sets. Show that:
a) (A ∩ B ∩ C) ⊆ (A ∩ B)

20. Show that if A and B are sets with A ⊆ B, then:
a) A ∩ B = A
b) A ∪ B = B

Added by Jose Francisco M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Adi S

07/01/2023

Step 1

Step 1: To show that (A ∩ B) ⊆ A, we need to show that every element in the intersection of A and B is also in A. Show more…

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16. Let A and B be sets. Show that: a) (A ∩ B) ⊆ A b) A ⊆ (B ∪ A) 18. Let A, B, and C be sets. Show that: a) (A ∩ B ∩ C) ⊆ (A ∩ B) 20. Show that if A and B are sets with A ⊆ B, then: a) A ∩ B = A b) A ∪ B = B