SOLUTION: 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

Algebra ->  sets and operations -> SOLUTION: 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       Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!


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 A that also belong to B
A{a,c,d,f,g,i}
B{b,c,d,f,g}.......as you can see all elements of set B are in A,so (A∩B)=B
by definition the union of two sets B and C contains elements or objects that belong to either B or C, 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}