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}

mental cunning

explanation:

he is often referred to as a man of twists and turns