Question: (b) Prove that in a Boolean Algebra (i) ? + (? * ? ) = ? (1i) ? * (? + ?) = ? Write

(b) Prove that in a Boolean Algebra (i) ? + (? * ? ) = ? (1i) ? * (? + ?) = ? Write the truth table for the following compound statements and state which of them are Tautology or Contradiction or Contingency. (1) (? A (? - ?) ) - ? (ii) (? - ?) - ( -?v ?) 10 (iii) -(? - ? ) A ? A (? - ?) (iv) (? v ?) - (? A -?) 4 Show that the hypotheses "It is not sunny this afternoon and it is colder than yesterday. We will go swimming only if it is sunny. If we do not go swimming, then we will take a canoe trip and if we take a canoe trip then, we will be home by sunset" lead to the conclusion 10 "we will be home by sunset"

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