Question 197527
I'll do the first five to get you going in the right direction...



Start with the given sets:


*[Tex \LARGE A=\left\{c,d,e,f\right\}]


*[Tex \LARGE B=\left\{e,f,g,h,k\right\}]



Find their respective complement sets (eg, the complement of A is everything in U, but NOT in A):


*[Tex \LARGE A^\prime=\left\{a,b,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z\right\}]


*[Tex \LARGE B^\prime=\left\{a,b,c,d,i,j,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z\right\}]





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a) Simply combine the two sets A and B (remember to remove any duplicates) to find the union:


*[Tex \LARGE A \cup B=\left\{c,d,e,f,g,h,k\right\}]



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b) Now form a new set of the common elements of sets A and B:


*[Tex \LARGE A \cap B=\left\{e,f\right\}]




Use the same logic to complete the rest (but this time we're using different sets in different combinations)



c) *[Tex \LARGE A^\prime \cap B^\prime=\left\{a,b,i,j,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z\right\}]



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d) *[Tex \LARGE A^\prime \cup B^\prime=\left\{a,b,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,c,d\right\}]




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e) *[Tex \LARGE A \cup B^\prime=\left\{c,d,e,f,a,b,i,j,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z\right\}]