![Example 5 - Chapter 1 Class 11 Sets - Part 2](https://d1avenlh0i1xmr.cloudfront.net/899b1025-a685-4f52-900e-81be29388569/slide7.jpg)
![Example 5 - Chapter 1 Class 11 Sets - Part 3](https://d1avenlh0i1xmr.cloudfront.net/0345d0df-430a-4d8b-a3f2-e665c20eb514/slide8.jpg)
![Example 5 - Chapter 1 Class 11 Sets - Part 4](https://d1avenlh0i1xmr.cloudfront.net/09214dfb-ceb7-47bf-9f6d-2d68b00368ca/slide9.jpg)
Examples
Last updated at April 16, 2024 by Teachoo
Example 5 Match each of the set on the left described in the roster form with the same set on the right described in the set-builder form : (i) {P, R, I, N, C, A, L} (a) { x : x is a positive integer and is a divisor of 18} (ii) { 0 } (b) { x : x is an integer and x2 – 9 =0 } (iii) {1, 2, 3, 6, 9, 18} (c) {x : x is an integer and x + 1= 1} (iv) {3, –3} (d) {x : x is a letter of the word PRINCIPAL} { x : x is a positive integer and is a divisor of 18} 1, 2 ,3, 6, 9, 18 are all divisors of 18 So, (iii) matches (a). (i) {P, R, I, N, C, A, L} (a) { x : x is a positive integer and is a divisor of 18} (ii) { 0 } (b) { x : x is an integer and x2 – 9 =0 } (iii) {1, 2, 3, 6, 9, 18} (c) {x : x is an integer and x + 1= 1} (iv) {3, –3} (d) {x : x is a letter of the word PRINCIPAL} { x : x is an integer and x2 – 9 =0 } x2 – 9 = 0 ∴ x = 3, –3 So, (iv) matches (b). (i) {P, R, I, N, C, A, L} (a) { x : x is a positive integer and is a divisor of 18} (ii) { 0 } (b) { x : x is an integer and x2 – 9 =0 } (iii) {1, 2, 3, 6, 9, 18} (c) {x : x is an integer and x + 1= 1} (iv) {3, –3} (d) {x : x is a letter of the word PRINCIPAL} {x : x is an integer and x + 1= 1} x + 1 = 1 ∴ x = 0 So, (ii) matches (c) (i) {P, R, I, N, C, A, L} (a) { x : x is a positive integer and is a divisor of 18} (ii) { 0 } (b) { x : x is an integer and x2 – 9 =0 } (iii) {1, 2, 3, 6, 9, 18} (c) {x : x is an integer and x + 1= 1} (iv) {3, –3} (d) {x : x is a letter of the word PRINCIPAL} {x : x is a letter of the word PRINCIPAL} There are 9 letters in the word PRINCIPAL and two letters P and I are repeated, So, (i) matches (d)