Last updated at Jan. 27, 2020 by Teachoo

Transcript

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)

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Example 5 Important You are here

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Example 18 Important Deleted for CBSE Board 2022 Exams

Example 19 Deleted for CBSE Board 2022 Exams

Example 20 Deleted for CBSE Board 2022 Exams

Example 21 Deleted for CBSE Board 2022 Exams

Example 22 Important Deleted for CBSE Board 2022 Exams

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Chapter 1 Class 11 Sets (Term 1)

Serial order wise

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.