Define X to be the set of all letters of the word eighty and let W be the set of all letters of the word seventy. List all elements of sets X and W. and

List all elements of sets X∪W and X∩W.

X = {E, I, G, H, T, Y} W = {S, E, V, N, T, Y)

XUW = {E, I, G, H, T, Y, S, V, N} U means union (both sets joined together)

X∩W = {E, T, Y} ∩ means intersection (in both sets)

X∪W = {E, I, G, H, T, Y, S, V, N}

X∩W = {E, T, Y}

Step-by-step explanation:

Since X is the set of all letters of the words eighty.

So X = {E, I, G, H, T, Y}

Similarly W is the set of all letters of the word seventy.

So W = {S, E, V, E, N, T, Y}

Now we have to find X∪W and X∩W.

X union W

X∪W = {E, I, G, H, T, Y} U {S, E, V, E, N, T, Y}

= {E, I, G, H, T, Y, S, V, N}

X intersection W or disjoint of X and W

X∩W = {E, T, Y}