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.

Answers:

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}.