Identify each set as finite or infinite. Then determine whether 1...

Question

Identify each set as finite or infinite. Then determine whether 10 is an element of the set. {x | x is a natural number greater than 11}

Accepted Answer

Welcome back. I am so glad you're here. We are. Given some information about a set. We're told the set of all elements X. Such that X. Is greater than 100 and less than 126. And a multiple of five. Then were to determine whether this set is finite, meaning it ends or infinite. It goes on forever. And to check whether 95 belongs to this set. All right. So what are we talking about here? We've got numbers greater than And they're going to be less than 126. So they're going to be in here. But it's not everything in here. It's just what is a multiple of five within their. Okay, so starting after 100. What's the next multiple of five? That would be 105. Alright. What's the next multiple of five. Then after that 115. After that 120 and 125. And we stop at 125. Because this set must be less than 126. Okay, there's our set. Is this finite or infinite? Well, it's finite. It stops. It does not keep going forever. It only contains those five numbers. Okay, Next question. Does 95 belong to the set. No, 95 is less than 100. It does not belong here. Sorry, 95. Alright. We look at our answer choices, finite. Not 95. And we match with answer choice B. Well done. We'll catch you on the next one

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Identify each set as finite or infinite. Then determine whether 10 is an element of the set. {x | x is a natural number greater than 11}

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