Spring 2023 Discrete Mathematics Assignment No. 1 Section In-charge: Rahib Raza Total Marks: 10 Due date: 29th May, 2023 Question 1: Marks=05 Given the following universal set U and two subsets A and B. U = Set of first fifteen natural numbers. 𝐴 = {𝑥 ∈ 𝑃, 𝑥 ≤ 15}, 𝐵 = {𝑥 ∈ 𝑂, 1 ≤ 𝑥 ≤ 15}. Find 𝐵 − 𝐴 𝑎𝑛𝑑 𝐵 𝑐 ∩ 𝐴 and draw Venn diagram for 𝐵 − 𝐴 𝑎𝑛𝑑 𝐵 𝑐 ∩ 𝐴. Question 2: Marks=05 Define a relation R by the given directed graph, also represent the relation in Matrix form.