Asked by Jacqueline
Use a Venn diagram to determine which relationship, , ⊆,=, ⊇, is true for the pair of sets.
Set 1: (A − C) − (B − C)
Set 2: A − B
Set 1: (A − C) − (B − C)
Set 2: A − B
Answers
Answered by
oobleck
Let C = {2,4,6}
A = {1,2,3,4,5,6,7,9,11,13}
B = {2,4,6,9,10,11,15,16}
A-C = 1,3,5,7,9,11,13
B-C = 9,10,11,15,16
(A-C)-(B-C) = {1,3,5,7,13}
A-B = {1,3,5,7,13}
so, "="
makes sense, since A-C - (B-C) = A-C-B+C = A-B
google can provide other examples.
A = {1,2,3,4,5,6,7,9,11,13}
B = {2,4,6,9,10,11,15,16}
A-C = 1,3,5,7,9,11,13
B-C = 9,10,11,15,16
(A-C)-(B-C) = {1,3,5,7,13}
A-B = {1,3,5,7,13}
so, "="
makes sense, since A-C - (B-C) = A-C-B+C = A-B
google can provide other examples.