Relations and Functions

Relations and Functions

Question

Match each of the set on the left in the roster form with the same set on the right described in set-builder form :

(i) {1,2, 3, 6}

(a) {x : x is a prime number and a divisor of 6}

(ii) (2, 3}

(b) {x : x is an odd natural number less than 10}

(iii) (M, A, T, H, E, I, C, S}

(c) {x : x is natural number and divisor of 6}

(iv) (1,3,5, 7, 9}

(d) {x : x is a letter of the word MATHEMATICS}

 

Answer

(a) { x : x is a prime number and a divisor of 6} = {2, 3}
(b) { x : x is an odd natural number less than 10} = {1, 3, 5, 7, 9}\
(c) { x : x is a  number and divisor of 6} = {1, 2, 3, 6}
(d) { x : x is a letter of word MATHEMATICS} = {M, A, T, H, E, T, I, C, S}

∴ The matching is :
space space space space space space space space space space space space space space space space space space space left parenthesis straight i right parenthesis space left right arrow left parenthesis straight c right parenthesis space space space space space space space space space space left parenthesis ii right parenthesis space left right arrow space left parenthesis straight a right parenthesis space space space space space space space space left parenthesis iii right parenthesis space left right arrow space left parenthesis straight d right parenthesis space space space space space space space space space space space left parenthesis iv right parenthesis space left right arrow space left parenthesis straight b right parenthesis

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