The set of positive integers less than 50 is finite (there are 49).The set of all integers less than 50 is infinite, because it includes an infinite number of negative numbers.
Start with the set of Natural numbers = N.Combine these with negative natural numbers and you get the set of Integers = Z.Combine these with ratios of two integers, the second of which is positive, and you get the set of Rational numbers = Q.Start afresh with numbers which are not rational, nor the roots of finite polynomial equations. This is the set of transcendental numbers.Combine these with the non-rational roots of finite polynomial equations and you have the set of Irrational Numbers.Combine the rational and irrational numbers and you have the set of Real numbers, R.
Start with the set of Natural numbers = N.Combine these with negative natural numbers and you get the set of Integers = Z.Combine these with ratios of two integers, the second of which is positive, and you get the set of Rational numbers = Q.Start afresh with numbers which are not rational, nor the roots of finite polynomial equations. This is the set of transcendental numbers.Combine these with the non-rational roots of finite polynomial equations and you have the set of irrational numbers.Any rational or irrational number is classified as an element of the set of Real numbers, R.
It is a terminating decimal.
Think about it - this one is fairly simple. Ask yourself the question: "Does this set have a largest element?" If the answer is "yes", then the set is finite. If the answer is "no", the set is infinite. Note: This reasoning works for subsets of natural numbers; for integers, additional adjustments are needed.
It is called in infinite set.
In mathematics, a finite set is a set that has a finite number of elements. For example, (2,4,6,8,10) is a finite set with five elements. The number of elements of a finite set is a natural number (non-negative integer), and is called the cardinality of the set. A set that is not finite is called infinite. For example, the set of all positive integers is infinite: (1,2,3,4, . . .)
It is called in infinite set.
prove that every subset of a finite set is a finite set?
This is called a discrete set (all points isolated) or a finite set. Finite sets are always discrete.
Set A is a finite set if n(A) =0 (that is, A is the empty set) or n(A) is a natural number. A set whose cardinality is not 0 or a natural number is called an infinite set.
Finite, no.
all finite set is countable.but,countable can be finite or infinite
A finite set has a finite number of elements, an infinite set has infinitely many.
An empty set is considered a finite set because it contains zero (0) elements and zero is a finite number.
An empty set (null set) is considered finite.
It is a set which contains a finite number of elements.