NATIONAL INSTITUTE OF PUBLIC ADMIINISTRATION DISCRETE MATHEMATICS ASSIGNMENT DUE DATE: 9TH MAY 2022 Topic One: Fundamentals Of Logic 1. Construct truth tables for each of the following compound statements. Where p,q,r denote primitive statements. 2. Use substitution laws to verify each of the following is a tautology. (here p,q,r denote primitive statements.) Topic Two: Set Theory 3. Which of the following sets are nonempty 4. If A = [0,3], B = [2,7] with 𝒰 = R. determine each of the following.