Worksheet on Finite and Infinite Sets

Practice the set of questions provided in the worksheet on finite and infinite sets.

We know finite set has a limited number of elements which means the elements can be counted and in infinite set has an unlimited number of elements which means the elements cannot be counted.

To solve the questions in the worksheet on finite and infinite sets, read the above explanations carefully.


1. State, whether the given set is infinite or finite:

(i) {3, 5, 7, ….}

(ii) {1, 2, 3, 4}

(iii) {….., -3, -2, -1, 0, 1, 2}

(iv) {20, 30, 40, 50, ………., 200}

(v) {7, 14, 21, …………, 2401}

(vi) {0}

(vii) (∅)

(viii) {x | x is an even natural number less than 10, 000}

(ix) {All people in the world}

(x) {x | x is a prime number}

(xi) {x | x ∈ N and x > 10}

(xii) {….., -2, -1, 0}

 

2. State, whether the following set is infinite or finite:

(i) Set of integers

(ii){Multiples of 5}

(iii) {Fractions between 1 and 2}

(iv) {Numbers of people in India}

(v) Set of trees in the world

(vi) Set of prime numbers

(vii) Set of leaves on a tree

(viii) Set of children in all the schools of Delhi}

(ix) Set of seven natural numbers

(x) { ……, -4, -, 2, 0, 2, 4, 6, 8}

(xi) {-12, -9, -6, -3, 0, 3, 6, …… }

(xii) {Number of points in a line segment 4 cm long}.

 

3. State, whether the following are finite sets, or infinite sets:

(i){2, 4, 6, 8, …….., 800}

(ii) {-5, -4, -3, -2, …..}

(iii) {…., -5, -4, -3, -2,}

(iv) {Number of C.B.S.E. school in Delhi}

(v){x : x is an integer between -60 and 60}

(vi) {No. of electrical appliances working in your house}

(vii) {x : x is a whole number greater than 20}

(viii) {x : x is a whole number less than 20}


Answers for the worksheet on finite and infinite sets are given below to check the exact answers of the above set of questions.


Answers:


1. (i) Infinite

(ii) Finite

(iii) Infinite

(iv) Finite

(v) Finite

(vi) Finite

(vii) Finite

(viii) Finite

(ix) Finite

(x) Infinite

(xi) Infinite

(xii) Infinite


2. (i) Infinite

(ii) Infinite

(iii) Infinite

(iv) Finite

(v) Infinite

(vi) Infinite

(vii) Finite

(viii) Finite

(ix) Infinite

(x) Infinite

(xi) Infinite

(xii) Infinite


3. (i) Finite

(ii) Infinite

(iii) Infinite

(iv) Finite

(v) Finite

(vi) Finite

(vii) Infinite

(viii) Finite

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