Determine whether each statement is true or false. {3, 5, 9, 10} ...

Question

Determine whether each statement is true or false. {3, 5, 9, 10} ∪ ∅ = {3, 5, 9, 10}

Accepted Answer

Welcome back. I am so glad you're here. We are given this statement. The set 8 16 29. In union with an empty set equals the set 8 16 29. And we are asked to determine whether this is true or false. Well, what does some of this mean? Specifically? What does this you mean? The U. Means in union with meaning that we're going to take the first set and combine it with the second set. And our answer is going to include everything from both sets. If something repeats, we only need to list it once. All right. How about this here? This is an empty set. This empty set means this set contains nothing. So now is it true that everything from the first two sets is contained in our answer. Let's check. We have 8.8 is contained in the answer. 1616 is contained in the answer. 21. Yes. 21 is there and 29 Yes. 29. Is there? The first set is all contained within our answer. Now. How about this empty set? Well, the empty set has nothing to add to it. It's bringing nothing to the table. So yeah. Everything from that set is over here already. So, yes, this is a true statement. We look at our answer choices and that matches with answer choice. A well done. We'll catch you on the next one

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Determine whether each statement is true or false. {3, 5, 9, 10} ∪ ∅ = {3, 5, 9, 10}

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