Question

You have two boxes of colored pens. The first box contains a red pen, a blue pen, and a green pen. The second box contains a yellow pen, a red pen, and a black pen. What is the set that represents all the pens?

a.{red pen, blue pen, green pen}
b.{red pen}
c.{red pen, red pen, green pen, yellow pen, black pen}
d.{red pen, blue pen, green pen, yellow pen, black pen}

Answer 1

d. {red pen, blue pen, green pen, yellow pen, black pen}

Explanation:

Be

A = Colors of pens in the first box

B = Colors of pens in the second box

A = {red, blue, green}

B = {yellow, red, black}

D =? set that represents all the pens

In set theory, the union of two (or more) sets is an operation that results in another set, whose elements are the same as the initial sets, without repeating those that are the same.

Therefore, the set that represents all the pens is:

D = {red, blue, green, yellow, black}

Hope this helps!

Answer 2

Thank you for posting your question here. If you have a  two boxes of colored pens. The first box contains a red pen, a blue pen, and a green pen. The second box contains a yellow pen, a red pen, and a red pen, blue pen, green pen, yellow pen, black pen. The answer is D. I hope it helps.