Worksheet on Representation on Set

Practice the set of questions provided in the worksheet on representation on set. The questions are based on representing the set using both the methods Roster Form and Set-Builder Form.

Write each of the following sets in Roster (tabular) Form and also in Set-Builder Form:

(i) Set of all natural numbers which can divide 24 completely.

(ii) Set of odd numbers between 20 and 35.

(iii) Set of even natural numbers less than 25.

(iv) Set of letters used in the word ‘MASSACHUSETTS’.

(v) Set of names of the first five months of a year.

(vi) Set of all two digit numbers which are perfect square also.

(vii) Set of letters used in the word ‘EDUCATION’.

Set of natural numbers divisible by 7

Roster Form: {7, 14, 21, 28, 35, 42, 49, …….}

Set-Builder Form: {x : x is a natural number divisible by 7}

Answers for the worksheet on representation on set are given below to check the exact answers of the above questions to express the sets in Roster and Set-Builder Form.

Answers:

(i) Roster Form: {1, 2, 3, 4, 6, 8, 12, 24};

Set-Builder Form: {x : x is a natural number which divides 24 completely}

(ii) Roster Form: {21, 23, 25, 27, 29, 31, 33};

Set-Builder Form: {x : x is an odd natural number between 20 and 35}.

(iii) Roster Form: {2, 4, 6, 8, 10, 12, 12, 14, 16, 18, 20, 22, 24};

Set-Builder Form: {x : x is an even natural number less than 25}.

(iv) Roster Form: {m, a, s, c, h, u, e, t};

Set-Builder Form: {x : x is a letter used in the word ‘MASSACHUSETTS’}.

(v) Roster Form: {January, February, March, April, May};

Set-Builder Form: {x : x is name of the first five months of a year}

(vi) Roster Form: {16, 25, 36, 49, 64, 81};