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What are all the uneven numbers?
the set of odd numbers is infinite
What is the cardinality of an odd whole number?
The set of odd whole numbers is countably infinite. It's cardinality is aleph null.
Does every infinite set of whole numbers satisfy the closure property for addition?
No. Consider the set of odd integers.
Which number can divided by 3 without leaving a remainder?
The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three.
What set of odd numbers less than5?
Unless you restrict the range, that's an infinite set. 3, 1, -1, -3, -5 and so on.
What are all the uneven numbers?
the set of odd numbers is infinite
Can a subset of infinite set be infinite?
Yes. For example, the set of odd natural numbers is a infinite subset of the set of integers.
Is intersection of two countably infinite sets can be finite?
Easily. Indeed, it might be empty. Consider the set of positive odd numbers, and the set of positive even numbers. Both are countably infinite, but their intersection is the empty set. For a non-empty intersection, consider the set of positive odd numbers, and 2, and the set of positive even numbers. Both are still countably infinite, but their intersection is {2}.
What is the cardinality of an odd whole number?
The set of odd whole numbers is countably infinite. It's cardinality is aleph null.
Does every infinite set of whole numbers satisfy the closure property for addition?
No. Consider the set of odd integers.
Which number can divided by 3 without leaving a remainder?
The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three.
Is the intersection of two infinite sets always an infinite set?
No. It can be infinite, finite or null. The set of odd integers is infinite, the set of even integers is infinite. Their intersection is void, or the null set.
What set of odd numbers less than5?
Unless you restrict the range, that's an infinite set. 3, 1, -1, -3, -5 and so on.
Is the GCF of any set of odd numbers always odd?
Any set of odd numbers, yes.
Is the set of irrational numbers countably infinite?
No. The set of irrational numbers has the same cardinality as the set of real numbers, and so is uncountable.The set of rational numbers is countably infinite.
What do you mean by countably infinite and infinite?
Countably infinite means you can set up a one-to-one correspondence between the set in question and the set of natural numbers. It can be shown that no such relationship can be established between the set of real numbers and the natural numbers, thus the set of real numbers is not "countable", but it is infinite.
What are the Odd multiples of three?
They are members of the infinite set of numbers of the form 3*(2k-1) or 6*k-3 where k is an integer.
