In this problem you will get some practice with the logic of sets, i.e., ways of putting sets together to make other sets. The main tool here will be presence tables. Your task is to verify, using presence tables, that the following relations between sets are true:  (a) (A ∪ B) ⊂ A  (b) (A ∩ B) = (B ∩ A)  (c) ∅c ∩ A = A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In this problem you will get some practice with the logic of sets, i.e., ways of putting sets together to make other sets. The main tool here will be presence tables. Your task is to verify, using presence tables, that the following relations between sets are true: 

(a) (A ∪ B) ⊂ A 

(b) (A ∩ B) = (B ∩ A

(c) c ∩ A =

(d) A ∩ (B ∩ C) = (A ∩ B) ∩ C

(e) If A ⊂ B, then (A ∪ C) (B ∪ C)

(f) A ⊂ B if and only if (A ∪ B) =

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