# hw_1_s16_sol - MAT 243 WRITTEN HOMEWORK 1(1 Fill in the...

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Chapter 2 / Exercise 4
Intermediate Algebra
Tussy/Gustafson
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MAT 243 WRITTEN HOMEWORK 1 (1) Fill in the blank in the statements below: (a) Two propositions are logically equivalent if and only if they have the same truth values. (b) A tautology is a proposition that is always true (c) The negation of ”if p then q ” is p ∧ ¬ q (d) ” r is a sufficient condition for s ” means if r then s . (e) ” a is a necessary condition for b ” means if b then a . (2) Given the conditional: I go to the beach or I go out dancing, if I am done with my work. (a) State the converse of this statement:
(b) State the contrapositive of this statement:
(c) State the negation of this statement:
(3) Write the following statements in symbolic form. Identify the propositional functions (if needed), universe of discourse you are using:
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Chapter 2 / Exercise 4
Intermediate Algebra
Tussy/Gustafson
Expert Verified