# hw2 - EECS 203 HOMEWORK 2 Section1.2 Problem 10(E Show that...

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EECS 203 – HOMEWORK 2 Section1.2 Problem 10 (E): Show that each of these conditional statements is a tautology by using truth tables a) [~p (p q)] q b) [(p q) (q r)] (p r) c) [(p (p q)] q d) [(p q) (p r) (q r)] r Section 1.2 Problem 16 (E): Show that p q and (p q) (~p ~q) are equivalent. Section 1.2 Problem 60 (E): Which of these compound propositions are satisfiable? a) (p q ~r) (p ~q ~s) (p ~r ~s) (~p ~q ~s) (p q ~s) b) (~p ~q r) (~p q ~s) (p ~q ~s) (~p ~r ~s) (p ~r ~s) c) (p q r) (p ~q ~s) (q ~r s) (~p r s) (~p q ~s) (p ~q ~r) (~p ~q s) (~p ~r ~s) Section 1.3 Problem 10(E): Let C(x) be the statement “x has a cat”, let D(x) be the statement “x has a dog”, and let F(x) be the statement “x has a ferret”. Express each of these statements in terms of C(x), D(x), F(x), quantifiers, and logical connectives. Let the domain consist of all students in your class.

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a) A student in your class has a cat, a dog and a ferret.
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