Discrete Math Quiz 1 - Spring '02 by Prof. S. Brick, Exercises of Discrete Mathematics

Download Discrete Math Quiz 1 - Spring '02 by Prof. S. Brick and more Exercises Discrete Mathematics in PDF only on Docsity! Prof. S. Brick Discrete Math; Quiz 1 Math 267 Spring ’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. Determine whether or not the propositions (¬p) → q and (¬q) → p are logically equivalent. 3. Using a first order language with universe being the set of all real numbers, the pred- icates less than “≤” , the function multiplication “·”, and the constant zero “0”, write a mathematical sentence that expresses the most general result about the existence of square roots that is true in that domain of discourse.