its digits is } (iv) D = { x : x is a prime number which is divisor of } (v) E = The set of all letters in the word TRIGONOMETRY (vi) F = The set of all letters in the word BETTER . Write the following sets in the set-builder form : ( , , , } { , , , , } (iii) { , , , } (iv) { , , , . . .} (v) { , , , .
. ., } . List all the elements of the following sets : A = { x : x is an odd natural number} B = { x : x is an integer, – < x < } (iii) C = { x : x is an integer, x ≤ } (iv) D = { x : x is a letter in the word “LOYAL”} (v) E = { x : x is a month of a year not having days} (vi) F = { x : x is a consonant in the English alphabet which precedes k }. .
Match each of the set on the left in the roster form with the same set on the right described in set-builder form: { , , , } (a) { x : x is a prime number and a divisor of } { , } (b) { x : x is an odd natural number less than } (iii) {M,A,T,H,E,I,C,S} (c) { x : x is natural number and divisor of } (iv) { , , , , } (d) { x : x is a letter of the word MATHEMATICS}. . The Empty Set Consider the set A = { x : x is a student of Class XI presently studying in a school } We can go to the school and count the number of students presently studying in Class XI in the school. Thus, the set A contains a finite number of elements.
We now write another set B as follows: MATHEMATICS B = { x : x is a student presently studying in both Classes X and XI } We observe