Prof. S. Brick Discrete Math; Quiz 1 Math 267
Fall ’02 section 1
0. Print your name:
1. Suppose p=“I love Math”, q=“I study a lot”, and r=“I’ll get a good grade.” Express
in English the meaning of (p∧q)→r.
2. Using a truth table, determine whether or not the propositions (¬p)→qand (¬q)→p
are logically equivalent.
3. Suppose the domain of discourse for sis the set of students here at USA and that for
cis the set of math classes taught here. Let L(a, b) be the predicate relation ”a likes b”.
Give a normal understandable and colloquial English sentence that embodies the meaning
of the mathematical statement: ∃c[∀sL(s, c)] ∧ ¬ {∃s[∀cL(s, c)]}