SOLUTION: 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 &#87

Algebra ->  Algebra  -> sets and operations -> SOLUTION: 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 &#87      Log On

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Question 184507This question is from textbook A Survey of Mathematics with Application
: 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
This question is from textbook A Survey of Mathematics with Application

Answer by jim_thompson5910(21685) About Me  (Show Source):
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a)

A ∩ B = Set of elements that BOTH sets A and B have in common

A ∩ B = {1, 2, 3} ∩ {3, 4, 5, 6}

A ∩ B = {3}

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b)

A ∩ C = Set of elements that BOTH sets A and C have in common

A ∩ C = {1, 2, 3} ∩ {3, 5, 7}

A ∩ C = {3}

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c)

A U C = Combination of the sets A and C (remove any duplicates)

A U C = {1, 2, 3} U {3, 5, 7}

A U C = {1,2,3,5,7}

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d)

B U C = Combination of the sets B and C (remove any duplicates)

B U C = {3, 4, 5, 6} U {3, 5, 7}

B U C = {3,4,5,6,7}