Feliz Posted August 25 Share Posted August 25 Use set-builder notation to denote the set of all even digits. Let E = set of even digits Textbook answer: E = { x | x is an even digit } = { 0, 2, 4, 6, 8 } Question: Why is 0 an element of set E? Link to comment Share on other sites More sharing options...

studiot Posted August 25 Share Posted August 25 1 hour ago, Feliz said: Why is 0 an element of set E? Zero is an even digit. Ask yourself what is a the difference between a digit and a (whole) number ? What is your definition of an even number ? A side note other numbers and digits are either positive or negative. Zero alone is neither (or both) So don't mix up sign and even/odd. Link to comment Share on other sites More sharing options...

Feliz Posted August 26 Author Share Posted August 26 4 hours ago, studiot said: Zero is an even digit. Ask yourself what is a the difference between a digit and a (whole) number ? What is your definition of an even number ? A side note other numbers and digits are either positive or negative. Zero alone is neither (or both) So don't mix up sign and even/odd. The Mayans stated that zero is the absence of value. There is a never-ending debate among mathematicians concerning zero as an even whole number. Can you prove that 0 is even? Link to comment Share on other sites More sharing options...

studiot Posted August 26 Share Posted August 26 7 hours ago, Feliz said: The Mayans stated that zero is the absence of value. There is a never-ending debate among mathematicians concerning zero as an even whole number. Can you prove that 0 is even? The most important lesson any student can learn is Read the question and answer it, not some other question that was not asked. Added to this in a wider context for life is RTFM - Read the frigging manual. So did you read the rules for the forum you have posted in ? I gave you a hint in the form of a question. - since we may not do your homework for you But you ignored it and argued instead, like a smart alec. Here is another comment/hint. There is no requirement for 0 or 9 to appear in every set of numbers or digits. If you still don't understand - ask. Link to comment Share on other sites More sharing options...

studiot Posted August 29 Share Posted August 29 Well I see that there has been other interest in these questions, even if the OP has not bothered to come back. The questions are actually more suble than at first meets the eye because book answers define the sets by listing the members, which is unusual. They have done this because the sets are finite and the only members are from the set of ten digits 0 through 9 that we use in our decimal number system. This listing is the simplest way of definiting the sets, and excluding numbers we do not want included. To make this clear the questions ask for the set of digits, not numbers. So in my last example 0 and 9 are digits with that represent numbers but 90 is not a digit it is only a number. Link to comment Share on other sites More sharing options...

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