Answer to Question #126706 in Discrete Mathematics for kavee

Question

9. (i) Prove the identity laws in Table 1 by showing that
(a) A ∪ ∅ = A (b) A ∩ U = A
(ii) Prove the domination laws in Table 1 by showing that
(a) A ∪ U = U (b) A ∩ ∅ = ∅
(iii) Prove the idempotant laws in Table 1 by showing that
(a) A ∪ A = A (b) A ∩ A = A
(iv) Prove the complement laws in Table 1 by showing that

(a) A ∪ A = U (b) A ∩ A = ∅

Answer 1

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