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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 = ∅
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