Homework Exercises 1. Let U = {a, b, c, d, ..., x, y, z} be the universal set. Consider the subsets A = {a, b, c, d, ..., p, q, r} B = {a, e, i, o, u} C = {u, n, i, v, e, r, s, a, l} Find the following sets. (a) A (b) Bn C (c) C-B (d) BUC (e) C (f) Anc (g) A -C (h) AUB (i) AUBUC (j) An Bn C (k) (AUC) n B (1) (A-B) n (A - C) (m)B-C (n) An (BUC) 2. Use a membership table to show that (A n B) U (A n B) = A. A B An B B An B 1 1 0 0 1 0 0 (An B) U (ANB)
Homework Exercises 1. Let U = {a, b, c, d, ..., x, y, z} be the universal set. Consider the subsets A = {a, b, c, d, ..., p, q, r} B = {a, e, i, o, u} C = {u, n, i, v, e, r, s, a, l} Find the following sets. (a) A (b) Bn C (c) C-B (d) BUC (e) C (f) Anc (g) A -C (h) AUB (i) AUBUC (j) An Bn C (k) (AUC) n B (1) (A-B) n (A - C) (m)B-C (n) An (BUC) 2. Use a membership table to show that (A n B) U (A n B) = A. A B An B B An B 1 1 0 0 1 0 0 (An B) U (ANB)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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