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Question -

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 тИИ 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 тАЬRAJASTHANтАЭ}
(iv) {1, 2, 5, 10} (iv) {x : x is a natural and divisor of 10}
(v) {A, H, J, R, S, T, N} (v) {x : x2 тАУ 25 =0}
(vi) {2,5} (vi) {x : x is a letter of word тАЬAPPLEтАЭ}



Answer -

(i)┬а{A,P, L, E}┬атЗФ┬а{x:x is a letter of word тАЬAPPLEтАЭ}

(ii)┬а{5,-5}┬атЗФ┬а{x:x2┬атАУ 25 =0}

The solution set of x2┬атАУ25 = 0 is x = ┬▒5

(iii)┬а{0}┬атЗФ┬а{x:x+5=5, x тИИ┬аz}

The solution set of x + 5 = 5 is x = 0.

(iv)┬а{1,2, 5, 10}┬атЗФ┬а{x: x is a natural and divisor of 10}

The natural numbers which are divisor of 10 are 1, 2, 5, 10.

(v)┬а{A,H, J, R, S, T, N}┬атЗФ┬а{x: x is a letter of the word тАЬRAJASTHANтАЭ}

The distinct letters of word тАЬRAJASTHANтАЭ are A, H, J, R, S, T, N.

(vi)┬а{2,5}┬атЗФ┬а{x:x is a prime natural number and a divisor of 10}

The prime natural numbers which are divisor of 10 are 2, 5.

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