May 27, 2019

The distinct letters from the word MEMORIAL are used to create set Z, such that Z = {M, E, O, R, I, A, L}. The letters from the word DAY are used to create set Y, such that Y = {D, A, Y}. If set X is the intersection of sets Z and Y, what are the letters in set X?

The intersection of two sets includes all the elements (or members) that are in both sets. So set X = {A}.

If set V is the union of sets Z and Y from the previous problem, what letters are in set V?

The union of two sets contains all the elements in both sets combined, thus set V = {M, E, O, R, I, A, L, D, Y}.

If set S is the intersection of sets X and V from the previous problems and set T is the union of sets X and V, what letters are in sets S and T?

Based on the definitions of intersection and union previously given, we see that S = {A} and T = {M, E, O, R, I, A, L, D, Y}.

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