Worksheet on Sets in Set-builder Form

Practice the worksheet on sets in Set-builder Form to write a set using the Rule or Set-builder method.  We know, to express the set in Set-builder Form actual elements of the set are not listed but a rule or a statement or a formula in the briefest possible way.

1. Write each given set in the Set-Builder Form:

(i) {2, 4, 6, 8, 10}

(ii) {2, 3, 5, 7, 11}

(iii) {January, June, July}

(iv) {a, e, i, o, u}

(v) {Tuesday, Thursday}

(vi) {1, 4, 9, 16, 25}

(vii) {5, 10, 15, 20, 25, 30}

2. Write the following sets in Set-Builder Form or Rule form:

(i) A = {1, 3 5, 7, 9}

(ii) B = {16, 25, 36, 49, 64}

(iii) C = {a, e, i, o, u}

(iv) D = {violet, indigo, blue, green, yellow, orange, red}

(v) E = {January, March, May, July, August, October, December}

Answers for the worksheet on sets in Set-builder form are given below to check the exact answers of the above questions on sets in Set-builder form or Rule form.


1. (i) {x : x is an even natural numbers less than 12}

(ii) {x : x is a prime numbers less than 12}

(iii) {x : x is a month whose name starts with letter J}

(iv) { x : x is a vowel in English alphabets}

(v) {x : x is a day of the week whose name starts with letter T}

(vi) {x : x is a perfect square natural number upto 25}

(vii) {x : x is a natural number upto 30 and divisible by 5}


2. (i) A = {x | x is an odd number less than 10}.

(ii) B = {x | x is a perfect square natural number between 15 and 65}

(iii) C = {x | x is a vowel in English small alphabet}.

(iv) D = {x | x is a color in rainbow}.

(v) E = {x | x is a month having 31 days}.

Sets and Venn-diagrams Worksheets

Worksheet on Set

Worksheet on Elements Form a Set

Worksheet to Find the Elements of Sets

Worksheet on Properties of a Set

Worksheet on Sets in Roster Form

Worksheet on Sets in Set-builder Form

Worksheet on Finite and Infinite Sets

Worksheet on Equal Sets and Equivalent Sets

Worksheet on Empty Sets

Worksheet on Subsets

Worksheet on Union and Intersection of Sets

Worksheet on Disjoint Sets and Overlapping Sets

Worksheet on Difference of Two Sets

Worksheet on Operation on Sets

Worksheet on Cardinal Number of a Set

Worksheet on Venn Diagrams

7th Grade Math Problems

Math Home Work Sheets

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