Math245Quiz1Sum00 - Math 245 Name QUIZ 1 SECTIONS 1.1-1.3 LOGIC 1 For each of the following indicate whether the equivalent"if-then form is"if p then q

Math 245 Name: ________________________ QUIZ 1 SECTIONS 1.1-1.3: LOGIC 1) For each of the following, indicate whether the equivalent "if-then" form is "if p , then q " or "if q , then p " by marking the appropriate column. (10 points; 2 points each) Equivalent to… If p , then q If q , then p a) p if q _________ _________ b) p is necessary for q _________ _________ c) p is sufficient for q _________ _________ d) p whenever q _________ _________ e) p only if q _________ _________ 2) Consider the proposition r below "I am going to Disneyland if I pass this class." a) Write the converse of the proposition r in simple English. (3 points) b) Write the contrapositive of the proposition r in simple English. (3 points)

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3) Consider the following propositions: p : Cartman will have to live with Kenny. q : Cartman practices his singing. r : Cartman takes singing lessons. s : Cartman will win the Cheezy Poofs contest. Completely rewrite the following proposition using symbolic logic operators and the propositional variables p , q , r , and s : "If Cartman practices his singing or takes singing lessons, then he will win the Cheezy Poofs contest and will not have to live with Kenny."