Question 756843: I am not grasping how to do this problem. Please help.
U{a,b,c,d,e,f,g,h,i,j,k}
A{a,c,d,f,g,i}
B{b,c,d,f,g}
C{a,b,f,i}
Determine the following (A∩B)UC
Answer by MathLover1(20849) (Show Source):
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U{a,b,c,d,e,f,g,h,i,j,k}
A{a,c,d,f,g,i}
B{b,c,d,f,g}
C{a,b,f,i}
Determine the following (A∩B)UC
first recall that, by definition the intersection of two sets (A∩B) is the set that contains all elements of that also belong to
A{a,c,d,f,g,i}
B{b,c,d,f,g}.......as you can see all elements of set are in ,so (A∩B)=
by definition the union of two sets and contains elements or objects that belong to either or , or to both
(A∩B)UC=B U C
B{b,c,d,f,g}
C{a,b,f,i}
B U C={a,b,c,d,f,g,i}
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