Set A and the universal set U are defined as follows. U={1,2,3,4,5,6)
A= {2,4,6}
Find the following sets.
Write your answer in roster form or as Ø.

Part (a)

This is the empty set

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Explanation:

It doesn't matter what set A is composed of. Intersecting any set with the empty set Ø will always result in the empty set.

This is because we're asking the question: "What does some set A and the empty set have in common?". The answer of course being "nothing" because there's nothing in Ø. Not even the value zero is in this set.

We can write Ø as { } which is a set of curly braces with nothing inside it.

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Part (b)

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Explanation:

When you union the universal set with any other set, you'll get the universal set.

The rule is where I've made B the universal set to avoid confusion of the letter U and the union symbol which looks nearly identical.

Why does this rule work? Well if an item is in set , then it's automatically in set U (everything is in set U; it's the universe). So we're not adding anything to the universe when applying a union involving this largest set.

It's like saying

we can see that will basically form the set of every item, aka the universal set.

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: