10 items are filed under this topic.
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Properties of real numbers applied to subsets |
2012-02-01 |
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From Mark:
Hello -
The questions that I have for you is do the properties of real numbers (such as the associative, commutative, identity, inverse, and distributive law) apply to ALL the subsets of real numbers? In other words, do all those properties work for the Natural Numbers? The Whole Numbers? And so on and so forth. I understand that they are all real numbers, but for instance: the identity is whenever you add zero to a number, you get that number back. But does that work with, say, with only the odd numbers? Zero isn't odd so can that property actually apply to JUST the odd numbers? Any consideration would be greatly appreciated!
Answered by Robert Dawson. |
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Subsets |
2009-06-16 |
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From Tracy:
Suppose C is the subset of D and D is the subset of C.
If n(c)=5, find n(D)
What other relationship exists between sets C and D?
Answered by Penny Nom. |
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Subsets of a set |
2007-10-30 |
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From Snehal:
1. Let an denote the number of subsets of f{1,2, 3.... n}including the
empty set and the set itself.)
a) Show an = 2an-1
b) Guess a formula for the value of an and use induction to prove you are
right
Answered by Stephen La Rocque. |
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The empty set is a subset of every set |
2006-11-14 |
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From Narayana:
The empty set is a subset of every set
Answered by Stephen La Rocque and Penny Nom. |
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One-quarter of all 3-subsets of the integers 1,2,3....,m contain the integer 5 |
2006-10-09 |
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From Hina:
If one-quarter of all 3-subsets of the integers 1,2,3....,m contain the integer 5, determine the value of m.
Answered by Steve La Rocque and Claude Tardif. |
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B={A,{A}} |
2004-09-20 |
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From Muhammad:
Let A be a set and let B = {A,{A}}.
(a) Explain the elements of set B (with some example)
(b) Prove that A is not a subset of B.
Answered by Penny. |
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Combinations of 1,2,3,...,10 |
2002-11-27 |
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From Gord:
If I had the numbers from 1-10 how many different combinations would i have.....would it be 100....since that is 10 squared.
Answered by Penny Nom. |
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Sets and elements |
2002-08-22 |
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From Dianne:
I want to know why its okay to say that, for example, 6 is an element of the set of integers, but you get counted off for saying that the set of 6 is an element of the set of integers. How come?
Answered by Judi McDonald. |
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Subsets of a countably infinite set |
2001-11-14 |
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From Tania:
How could I show (and explain to my son) that any countably infinite set has uncontably many infinite subsets of which any two have only a finite number of elements in common?
Answered by Claude Tardif. |
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Subsets of the natural numbers |
2001-01-30 |
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From Christina:
How do I explain why the set of natural numbers (N) cannot be equivalent to one of its finite subsets?
Answered by Penny Nom. |
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