Question

Does the following sentence specify a set? C = { whole numbers close to 50 }

Answer 1

Answer:

Explanation:

No because the criteria is ambiguous

Answer 2

Answer:

• No, since instead of close to 50, they haven't specified how far they'll go. For example, the closest number for you will be 49; for me, it will be 48; for others, it may be 45 or 41, and so on. So it's not a set because it has no fixed value and varies from person to person.
• A set is a collection of items known as the set's elements.
• A set must be clearly defined, which means that its elements must be easily stated and named. For instance, the numbers 1, 3, 5, and the letters of the English alphabet.
• If two sets have precisely the same items, they are said to be equivalent.
• The sequence doesn't matter.
• Any element that appears more than once is disregarded.
• We write a S if an is an element of a set S.
• We write b S if b is not an element of a set S.