Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
When A, B, and C are sets,
A∩(B⋃C) = (A∩B)⋃C if and only if
A ∩ C ⊆ A ∩ B |
||
C ⊆ A |
||
A ∩ B ⊆ A ∩ C |
||
A ∩ B ∩ C = ∅ |
||
C ⊆ B |
Choose correct answer.
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- Prove that if A, B, and C are arbitrary sets and A −C ⊈ A −B, then B ⊈ C. I dont know how to prove this. I want to contrapostive B⊆C, then A-C ⊆ A-B.arrow_forward{(x,a), (x,b), (x,c), (y,a), (y,b),(y,c)} is the Cartesian product AXB of two sets given as A = {a,b,c} B = {x,y} A = {x,y} B = {1,2,3} A = {x,y} B = {a,b,c} A = {x,a} B = {y,b.c}arrow_forwardUse an element argument to prove the statement that for all sets A, B, and C, if A ⊆ B then A ∪ B = B. Step 1 Prove A ∪ B ⊆ B. Step 2 Prove B ⊆ A ∪ Barrow_forward
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