University:
Glendale Community College
Course:
MAT 140 | College Mathematics
Academic year:

2020
Views:

361

Pages:

13
Author:

Ray Payne

Section 1.4 Operations with sets – Union, Intersection and Complement #1-10: Find the following sets. U = {a,b,c,d,e} A = {c,d,e} B = {a,c,d} 1) A’ 2) B’ 3) 𝐴 ∪ 𝐵 4) 𝐴′ ∪ 𝐵′ 5) 𝐴 ∩ 𝐵 6) 𝐴′ ∩ 𝐵′ U = {a,b,c,d,e} A = {c,d,e} B = {a,c,d} 7) 𝐴′ ∩ 𝐵 8) 𝐴 ∩ 𝐵′ 9) 𝐴′ ∪ 𝐵 10) 𝐴 ∪ 𝐵′ #11-20: Find the following sets. U = {1,2,3,4,5} A = {1,2,3} B = {5} 11) A’ 12) B’ 13) 𝐴 ∪ 𝐵 14) 𝐴′ ∪ 𝐵′ 15) 𝐴 ∩ 𝐵 16) 𝐴′ ∩ 𝐵′ U = {1,2,3,4,5} A = {1,2,3} B = {5} 17) 𝐴′ ∩ 𝐵 18) 𝐴 ∩ 𝐵′ 19) 𝐴′ ∪ 𝐵 20) 𝐴 ∪ 𝐵′ #21-32: Find the following sets. U = {1,2,3,4,5,6} A = {1,2,3} B = {2,3,4} C = {1,5} 21) 𝐴 ∩ 𝐶 22) 𝐵 ∩ 𝐶 23) 𝐴 ∪ 𝐶 24) 𝐵 ∪ 𝐶 25) 𝐴 ∩ 𝐵 ∪ 𝐶 26) 𝐴 ∪ 𝐵 ∩ 𝐶 U = {1,2,3,4,5,6} A = {1,2,3} B = {2,3,4} C = {1,5} 27) 𝐵 ∪ 𝐶 ∩ 𝐴 28) 𝐵 ∩ 𝐴 ∪ 𝐶 29) 𝐴′ ∩ 𝐵 30) 𝐴 ∩ 𝐵′ 31) 𝐴′ ∪ 𝐵 ∩ 𝐶′ 32) 𝐵′ ∩ 𝐴 ∪ 𝐶′ #33-44: Find the following sets. U = {a,b,c,d} A = {a,b,c} B = {b,c,d} C = {a,d} 33) 𝐴 ∩ 𝐶′ 34) 𝐵′ ∩ 𝐶 35) 𝐴′ ∪ 𝐶′ 36) 𝐵′ ∪ 𝐶′ U = {a,b,c,d} A = {a,b,c} B = {b,c,d} C = {a,d} 37) 𝐴′ ∩ 𝐵 ∪ 𝐶′ 38) 𝐴′ ∪ 𝐵′ ∩ 𝐶 39) 𝐵′ ∪ 𝐶′ ∩ 𝐴 40) 𝐵′ ∩ 𝐴′ ∪ 𝐶 U = {a,b,c,d} A = {a,b,c} B = {b,c,d} C = {a,d} 41) 𝐴′ ∩ 𝐵′ 42) 𝐴 ∩ 𝐵′ 43) 𝐴′ ∪ 𝐵′ ∩ 𝐶′ 44) 𝐵 ∩ 𝐴′ ∪ 𝐶′ #45 – 56: Find the following sets. U = {1,2,3,4,5,6} S = {2,4,6} T = {1,2,4} V = {4,5,6} 45) 𝑆 ∪ (𝑇 ∩ 𝑉) 46) (𝑆 ∪ 𝑇) ∩ 𝑉 47) (𝑆 ∪ 𝑇)′ 48) (𝑉 ∪ 𝑆)′ U = {1,2,3,4,5,6} S = {2,4,6} T = {1,2,4} V = {4,5,6} 49) 𝑆 ∩ (𝑉 ∩ 𝑇 ′ ) 50) (𝑆 ′ ∩ 𝑉 ′ ) ∪ 𝑇 51) (𝑆 ′ ∪ 𝑉 ′ ) ∩ 𝑇 52) 𝑆′ ∪ 𝑇 ∩ 𝑉′ U = {1,2,3,4,5,6} S = {2,4,6} T = {1,2,4} V = {4,5,6} 53) 𝑇 ∪ 𝑉′ ∪ 𝑆′ 54) 𝑇 ∪ 𝑉′ ∩ 𝑆′ 55) (𝑉 ∩ 𝑇)′ ∪ 𝑆 56) 𝑉 ∪ (𝑆 ∩ 𝑇)′ Answers: 1) {a,b} 3) {a,c,d,e} 5) {c,d} 7) {a} 9) {a,b,c,d} 11) {4,5} 13) {1,2,3,5} 15) ∅ 17) {5} 19) {4,5} 21) {1} 23) {1,2,3,5} 25) {1,2,3,5} 27) {1,2,3} 29) {4} 31) {2,3,4,6} 33) {b,c} 35) {b,c,d} 37) {b,c,d} 39) {a,b,c} 41) ∅ 43) ∅ 45) {2,4,6} 47) {3,5} 49) {6} 51) {1,2} 53) {1,2,3,4,5} 55) {1,2,3,4,5,6}