Question 756843



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}