Let the Universal set be the letters a through j: U = {a, b, ..., i,...

Question

Question

Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {a, c, e, i}, B = {a, b, e, g), and C = {a,

Answer 1

Answer #1

Here $A\cap (B\cup C)$ first we calculate the (B U C)

B = {a,b,e,g} C = {a,b,f,i)

U means Union contians all elements in either set.

So,(B U C) = { a,b,e,g,f,i }

Here calculate the $A\cap (B\cup C)$

$\cap$ means intersection contains all same elements in both sets

$A\cap (B\cup C)$ = {a,c,e,i} $\cap$ {a,b,e,g,f,i }

Here a,e,i elements are have in both sets.

$A\cap (B\cup C)$ = { a,e,i}

list of elemnets are a,e,i

Answer 2

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