Question: Please solve this it is discrete math question Q1 Decide whether or not the following propositions are true or false, where in each case the

Please solve this it is discrete math question

Q1 Decide whether or not the following propositions are true or false, where in each case the universal set is the set of positive integers NT. The number x > 0 E R is an unspecified constant. Justify each of your conclusions with a proof or a counterexample. (a) -3n (4n = 71) (b) In (n1/3 = -32) (d) In (x+3)" =[7-0 (x-DIX"-12') Q2 Does the following equality hold in every Boolean algebra? Show all working ( z' ( x' + y') )' = (2+x) (2'+2) (z+y)

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