Name: Discrete Mathematical Structures Math 205 Assignment #6 Due: 03-03-2017 1.)Provide steps an reasons to establish the following logical equivalences.
2.)Use the rules of inference, the laws of logic, the substitution rules, and logical equivalences to establish the validity of each of the following arguments. a.trsqtsprqp~~____________~b.ptuustsrrqp____________~~~~~
3.)Negate and simplify each of the following statements. a.rqpqp~~b.rqp4.)Verify that rpsqsrqp~~~~is a logical implication by showing that it is impossible for the conclusion to be false while the hypothesis is true.
5.)Verify the following argument )(,____________)(,)(,)()(,xrxxqxxpxxrxqxpx.