Describe the following set in Roster form : (i) {x:x is a letter before e in the English alphabet}. (ii) {x∈N : x^2 less than 25}. (iii) {x∈N : x is a prime number, 10 less than x less than 20}. (iv) {x∈N : x = 2n, n∈N}. (v) {x∈R:x greater than x}. (vi) {x:x is a prime number which is a divisor of 60}. (vii) {x: x is a two digit number such that the sum of its digits is 8). (viii) The set of all letters in the word ‘Trigonometry’. (ix) The set of all letters in the word ‘Better’. Watch Solution
Describe the following sets in set-builder form: (i) A = {1, 2, 3, 4, 5, 6} (ii) B = {1, 1/2, 1/3, 1/4, 1/5, …} (iii) C = {0, 3, 6, 9, 12, …} (iv) D = {10, 11, 12, 13, 14, 15} (v) E = {0} (vi) {1, 4, 9, 16,…, 100} (vii) {2, 4, 6, 8, …..} (viii) {5, 25, 125, 625} Watch Solution
List all the elements of the following sets: (i) A = {x: x^2 ≤ 10, x∈Z} (ii) B = {x:x = 1/(2n-1),1 ≤ n ≤5} (iii) C = {x:x is an integer,-1/2 less than x less than 9/2} (iv) D = {x:x is a vowel in the word “EQUATION”} (v) E = {x:x is a month of a year not having 31 days } (vi) F = {x:x is a letter of the word “MISSISSIPPI” } Watch Solution
Match each of the sets on the left in the roster form with the same set on the right described in the set builder form: (i) {A, P, L, E} (i) {x : x + 5 = 5, x∈Z} (ii) {5, -5} (ii) {x : x is a prime natural number and a divisor of 10 } (iii) {0} (iii) {x: x is a letter of the word “RAJASTHAN”} (iv) {1, 2, 5, 10} (iv) {x: x is a natural number and divisor of 10} (v) {A, H, J, R, S, T, N} (v) {x: x^2 – 25 = 0} (vi) {2, 5} (vi) {x : x is a letter of the word “APPLE”} Watch Solution
Write the set of all vowels in the English alphabet which precede q. Watch Solution
Write the set of all positive integers whose cube is odd. Watch Solution
Write the set {1/2, 2/5, 3/10, 4/17, 5/26, 6/37, 7/50} in the set-builder form. Watch Solution
Describe the following set in Roster form : { x ∈ R : x > x}. Watch Solution
Describe the following set in Roster form : The set of all letter in the word ‘Better’. Watch Solution
Describe the following set in Roster form : { x ∈ N : x is prime number, 10 < x < 20}. Watch Solution
Describe the following set in Roster form : { x : x is a prime number which is a divisor of 60 }. Watch Solution
Describe the following set in Roster form : {x ∈ N : x^2 less than 25}. Watch Solution
Describe the following set in Roster form : The set of all letters in word ‘Trigonometry’. Watch Solution
Describe the following set in Roster form : { x ∈ N : x = 2n, n ∈ N}. Watch Solution
Describe the following set in Roster form : {x : x is a letter before e in the English alphabet}. Watch Solution
Describe the following set in Roster form : { x : x is a two digit number such that the sum of its digits is 8 }. Watch Solution
Describe the following set in set-builder form A = {1, 2, 3, 4, 5, 6} Watch Solution
Describe the following set in set-builder form B = {1, 1/2, 1/3, 1/4, 1/5,…} Watch Solution
Describe the following set in set-builder form C = {0, 3, 6, 9, 12…} Watch Solution
Describe the following set in set-builder form D = {10, 11, 12, 13, 14, 15} Watch Solution
Describe the following set in set-builder form E = {0} Watch Solution
Describe the following set in set-builder form {1, 4, 9, 16,…, 100} Watch Solution
Describe the following set in set-builder form {2, 4, 6, 8 . ..} Watch Solution
Describe the following set in set-builder form {2, 25, 125, 625} Watch Solution
List all the elements of the following set : A = {x : x^2 less than equal to 10, x∈ Z} Watch Solution
List all the elements of the following set : B = {x : x = 1/(2n-1),1 ≤ n ≤5} Watch Solution
List all the elements of the following set : C = {x : x is an integer,-1/2 < x < 9/2} Watch Solution
List all the elements of the following set : D = {x : x is a vowel in the word “EQUATION”} Watch Solution
List all the elements of the following set : E = {x : x is a month of a year not having 31 days} Watch Solution
List all the elements of the following set : F = {x : x is a letter of the word “MISSISSIPPI”} Watch Solution
