Question 1 Let p: I get the job q: I work hard r: I get promoted (a) Write the following proposition in terms of p, q, r and logical connectives. “If I get the job and work hard, then I will get promoted.” (2 marks) (b) Use your answer in part (i), state the converse, contrapositive and negation of the proposition in terms of p, q, r and logical connectives. Simplify your answers to the form without logical connectives “→”. (6 marks)
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(a)
Simplify:
(b) Converse:
Simplify:
Contrapositive:
Simplify:
Negation:
Simplify: