Savannah State University Department of Mathematics MATH 2301 Introduction to Di

Question

Savannah State University Department of Mathematics MATH 2301 Introduction to Discrete Mathematics Midterm Exam Fall 2017 Tu Name: son Please answer the following questions on the space provided. Answers without justifying work will receive no credit. Partial credit will be given as appropriate; do not leave any problem blank 1. write the following statements using and find the negation, the converse, the inverss and the contrapositive: Apts) I cut off my finger whenever I peel a watermelon. 2. Determine if the following compound proposition is a tautology or a contradiction or neither, by the direct use of truth table and (5pts) 3. Using logically equivalent statements, without the direct use of truth tables, show: (5pts) 4. Translate into symbols the following compound statements and give the form of the compound Statement. In each case, list the statements P, Q, R.. If he is a weather forecast man then it is not both raining and hot.(10pts) (Spts) s. Give set A-( Find (A)

Explanation / Answer

Cut off my finger whenever I peel a watermelon ; Which means if watermelon is peeled then finger must be cut-off
So if p = watermelong being peeled
q= finger being cut off
Then statemenet if : p => q
negation is : ~p => q (if I peel the watermlon the ndont cut off my finger)
inverse is : ~p => ~ q
converse is : q => p
contra positive is : ~q => ~ p

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