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In the ordinary sense, yes. In the sense of set theory, no. –

Bernard

May 27 '17 at 23:1

Infinite sets behave differently than finite sets. Consider the map f:N→O where O is the set of all odd numbers. This can be written as a bijection f(n)=2n−1 and they have the same cardinality (|N|=|O|) –

Dando18

May 27 '17 at 23:2

Also a question to think about: if two sets are infinite, than how is one larger than the other? What constitutes their size? This is why we look at the density and countability of sets. –

Dando18

May 27 '17 at 23:2

Take the integers and the even integers (since they are a group and subgroup whereas the odds are not). If you defined "larger" to mean index bigger tha, then Z would be larger, [Z:2Z]=2, but in terms of cardinality both sets are the same size. They can be put in 1-1 correspondence with each other. –

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Q: What is the set of odd numbers less than 14?

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The set of all odd natural numbers less than 10 is [1,3,5,7,9].

1,3,5,7,9

1, 3, 5

1,3,5

The set of positive odd integers.

the set of whole numbers less than 0

A set of numbers usually refers to a group (set) of numbers with certain discreption or properties. All odd numbers less than 10 is the set {1,3,5,7,9} The set of numbers which solve the problem 3x^2 -7 = 68 is {5 and -5}

Any set of odd numbers, yes.

17,15,13,11,9,7,5,3,1

x/x g < 18

is a set of even numbers less than 8

1,4,9,16

2,3,4

The GCF of any set of odd numbers is odd because odd numbers don't have any even factors.

1 is an odd number

In 'normal' arithmetic, there is no solution of 3 consecutive odd numbers where the product of the smaller two is 22 less than that of the larger two. For instance difference in products for 1-3-5 is 12, for 3-5-7 it is 20, and for 5-7-9 it is 28. The series steps by 8 integers for each set of 3 odd numbers investigated.

You can't. Adding any two odd numbers always gives an even number, which is not a member of the set of odd numbers.

an empty set

its must be 10

set of all even natural numbers less than 9 Answer = {1,2,3,4,5,6,7,8}

6

Set of even numbers less than 50 and more than 40 = {42,44,46,48}

Let + (addition) be a binary operation on the set of odd numbers S. The set S is closed under + if for all a, b ϵ S, we also have a + b ϵ S. Let 3, 5 ϵ the set of odd numbers 3 + 5 = 8 (8 is not an odd number) Since 3 + 5 = 8 is not an element of the set of the odd numbers, the set of the odd numbers is not closed under addition.

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