Home
Class 12
MATHS
The set N of positive natural number set...

The set N of positive natural number set is finite set or infinite set ?

Text Solution

Verified by Experts

"The set N of positive natural numbers" is an infinite set.
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MBD PUBLICATION|Exercise QUESTION BANK |56 Videos

  • STATISTICS

    MBD PUBLICATION|Exercise QUESTION BANK|13 Videos

Similar Questions

Explore conceptually related problems

On the set Q+ of all positive rational numbers, define a binary operation * on Q+ by a*b = (ab)/(3)AA (a,b) in Q^(+) . Then, find the identity element in Q for*.

On the set Q^(+) of all positive rational numbers define a binary operation * on Q^(+) by a * b= (ab)/(3) AA (a,b) in Q^(+) . Then what is the inverse of a in Q^(+) ?

Let R be a relation in the set of natural numbers N defined by xRy if and only if x+y=18 . Is R an equivalence relation?

If N denotes the set of all natural numbers and R be the relation on N xx N defined by (a, b) R (c, d) if ad(b+ c)=bc(a+d) . Show that R is an equivalence relation.

Determine whether the solution set is finite or infinite or empty: x lt 1, x in Z (set of integers)

Determine whether the solution set is finite or infinite or empty: x lt 2 ,x is a positive integer.

Determine whether the solution set is finite or infinite or empty: x lt 1, x is a positive integer.

Determine whether the solution set is finite or infinite or empty: x lt 1000, x in N

Let N be the set of all positive integers and R be a relation on N, defined by R = {(a,b): a is a factor of b), show that R is reflexive and transitive.

Which of the following set are finite and which are infinite ?The set of prime number .