Solution: Finite or Infinite Sets

# Solution: Finite or Infinite Sets | Sets and Functions - JEE PDF Download

1. Clearly there are infinite positive integers greater than 100. So, the given set is infinite.

2. There are infinite lines which are parallel to x-axis. So, the given set is infinite.

3. There are finite numbers of animals on the earth. So, the given set is finite.

4. The given set is the set of all natural numbers and since set of natural

numbers is infinite. Hence the given set is infinite.

5. There are infinite number of circles that pass through (0,0). So, the given set is infinite.

Obstacles are those frightful things you see when you take your eyes off your goal.

--Henry Ford

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## FAQs on Solution: Finite or Infinite Sets - Sets and Functions - JEE

 1. What is a finite set?
Ans. A finite set is a set that has a specific number of elements and can be counted. It has a definite end and does not continue indefinitely.
 2. What is an infinite set?
Ans. An infinite set is a set that has an uncountable number of elements. It continues indefinitely without an end and cannot be counted.
 3. How can we determine if a set is finite or infinite?
Ans. To determine if a set is finite or infinite, we can count the number of elements in the set. If we can count the elements and reach a definite number, then the set is finite. If the set continues indefinitely without a definite count, then it is infinite.
 4. Can a set be both finite and infinite?
Ans. No, a set cannot be both finite and infinite at the same time. A set is either finite or infinite based on its characteristic of having a definite count or continuing indefinitely.
 5. What are some examples of finite and infinite sets?
Ans. Examples of finite sets include the set of days in a week (Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday), the set of fingers on a hand (thumb, index finger, middle finger, ring finger, pinky), and the set of primary colors (red, blue, yellow). Examples of infinite sets include the set of natural numbers (1, 2, 3, 4, ...), the set of real numbers (-∞, +∞), and the set of all possible subsets of a given set.

## Sets and Functions

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