SOLUTION: Someone Please help me! Given the following A={1,2,3} B={1,2,3,4,5} and C= {4,5,6,7} Evaluate each set a) A intersection B b) A union C c) B union C d) (A union B)intersect

Question 468991: Someone Please help me!
Given the following A={1,2,3} B={1,2,3,4,5} and C= {4,5,6,7} Evaluate each set
a) A intersection B
b) A union C
c) B union C
d) (A union B)intersection C
e) A union (B union C)
f) (A intersection B) intersection C
g) (A intersection B)union C
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Given; A={1,2,3} B={1,2,3,4,5} and C= {4,5,6,7}
a) A intersection B
The INTERSECTION of two sets is the set of elements which are in both sets.
A intersection B={1,2,3}

b) A union C
The UNION of two sets is the set of elements which are in either set.
A union C={1,2,3,4,5,6,7}
c) B union C={1,2,3,4,5,6,7}

d) (A union B)intersection C={1,2,3,4,5}intersection {4,5,6,7}={4,5}

e) A union (B union C)= {1,2,3} union {1,2,3,4,5,6,7}={1,2,3,4,5,6,7}
f) (A intersection B) intersection C={1,2,3} intersection {4,5,6,7}={ }
g) (A intersection B)union C={1,2,3} union {4,5,6,7}={1,2,3,4,5,6,7}

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