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 the statement set containing 14 23. Intersecting with an empty set equals the set 59, 14 23. And we are asked to determine whether this is true or false. All right, let's dig in a little bit. What does this upside down? You hear mean? That means the intersection where the first set and the second set come together. All of the things that they share in common. Now, what does this here mean? This is an empty set. The empty set contains absolutely nothing. So our answer has to be what is shared between 59, and nothing. Well, since the second one is nothing, it is not going to have a 59 of 14 or 23 in it. So No. This is not the intersection of those two sets. And our answer here is this statement is false. We look at our answer choices and that matches with answer choice B. 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}