Question

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) \( \{a, e, i, 0, u\} \) 

(v) \( \{ \) Tuesday, Thursday \( \} \) 

(vi) \( \{1,4,9,16,25\} \) 

(vii) \( \{5,10,15,20,25,30\} \) 

Answer 1

(i) {2, 4, ,6, 8} = {2n ; 1 \(\leq\) n \(\leq\) 5}

(ii) {2, 3, 5, 7, 11} = {P:P is a prime number less than 12}

(iii) {January , July, June} = {x: x is a a month of calendar starting with letter J}

(iv) {a, e, i, o, u} = {x : x is a vowel of english alphabet}

(v) {Tuesday, Thursday} = {x : x is a day in month starting with letter T}

(vi) {1, 4, 9, 16, 25} = {n² : 1 \(\leq\) n \(\leq\) 5}

(vii) {5, 10, 15, 20, 25, 30} = {5n : 1 \(\leq\) n \(\leq\) 6}