SOLUTION: Given A = {1, 2, 3, 4}, B = {4, 5, 6,}, and C = {2, 6, 7}. Evaluate each set a) A ∩ B b) A U C c) B U C d) (A U B) ∩ C e) A U (B U C) f) (A ∩ B) ∩ C

Algebra ->  Test -> SOLUTION: Given A = {1, 2, 3, 4}, B = {4, 5, 6,}, and C = {2, 6, 7}. Evaluate each set a) A ∩ B b) A U C c) B U C d) (A U B) ∩ C e) A U (B U C) f) (A ∩ B) ∩ C       Log On


   



Question 473419: Given A = {1, 2, 3, 4}, B = {4, 5, 6,}, and C = {2, 6, 7}. Evaluate each set
a) A ∩ B
b) A U C
c) B U C
d) (A U B) ∩ C
e) A U (B U C)
f) (A ∩ B) ∩ C
g) (A ∩ B) U C

Answer by MathLover1(20849) About Me  (Show Source):
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Given A = {1, 2, 3, 4}, B = {4, 5, 6,}, and C = {2, 6, 7}.

Evaluate each set

a) A ∩ B..........is { 4}

b) A U C..........is {1, 2, 3, 4, 5, 6}

c) B U C..........is {2,4, 5, 6, 7}

d) (A U B) ∩ C......... {1, 2, 3, 4}∩{2, 6, 7}...is { 2}

e) A U (B U C).........{1, 2, 3, 4}U{2,4, 5, 6, 7}...is {1,2,3,4, 5, 6, 7}

f) (A ∩ B) ∩ C.....{ 4}∩{2, 6, 7}.....is { }

g) (A ∩ B) U C ....{ 4}U{2, 6, 7}...is {2,4, 6, 7}