Question 122499: I need help with the following. I know that I've asked previous questions today. I have tried doing all of the questions I've asked, but I'm having a hard time with them.
Given A = {1, 2, 3}, B = {3, 4, 5, 6,}, and C = {3, 5, 7}. Evaluate each set
a) A ∩ B
b) A ∩ C
c) A U C
d) B U C
e) (A U B) ∩ C
f) A U (B U C)
g) (A ∩ B) ∩ C
h) (A ∩ B) U C
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! A={1,2,3}
B={3,4,5,6}
C={3,5,7}
Union is all elements of both sets.
Intersection is only the common elements to both sets.
a)A ∩ B = (3)
b)A ∩ C = (3)
c)A U C = (1,2,3,5,7)
d)B U C = (3,4,5,6,7)
e)(A U B) ∩ C=(1,2,3,4,5,6)∩(3,5,7)=(3,5)
f)A U (B U C)=A U (3,4,5,6,7)=(1,2,3,4,5,6,7)
g) (A ∩ B) ∩ C=(3)∩ C=(3)
h) (A ∩ B) U C=(3)U C=(3,5,7)
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