Question

Let U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}.

Determine the following.
A ∪ (B ∩ C)

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Answer 1

Substitute the sets for the letters:

A ∪ ( B ∩ C )
{q, s, u, w, y} ∪ ( {q, s, y, z} ∩ {v, w, x, y, z} )

First we work inside the parentheses, it has ∩, so we form the
set consisting of ONLY those elements that are incommon to both sets
{q, s, y, z} and {v, w, x, y, z}. We see that y and z are the only
ones that are in common to both sets, so the set to form is {y, z}.
So far we have:

A ∪ ( B ∩ C )
{q, s, u, w, y} ∪ ( {q, s, y, z} ∩ {v, w, x, y, z} )
{q, s, u, w, y} ∪ {y, z}

Now we have only a ∪, and so we form the set that consists of all the
elements in {q, s, u, w, y} together withe both elements of {y, z}. So
we end up with this:
A ∪ ( B ∩ C )
{q, s, u, w, y} ∪ ( {q, s, y, z} ∩ {v, w, x, y, z} )
{q, s, u, w, y} ∪ {y, z}
{q, s, u, w, y, z}

Answer 2

is that the correct Answer? :S

Answer 3

yea sure.

Answer 4

-.-

Answer 5

@Needhelpp101 I concur.

Answer 6

thank you Mr. Directrix <3 :)