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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 ∈ 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 : x2 − 25 = 0
(vi) {2, 5} (vi) {x : x is a letter of the word "APPLE"}

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Solution

(i) {A, P, L, E} is a roster form of {x : x is a letter of the word APPLE}.
(ii) {5, −5} is a roster form of {x : x2 − 25 = 0}.
(iii) {0} is a roster form of {x : x + 5 = 5, x ∈ Z}.
(iv) {1, 2, 5, 10} is a roster form of {x : x is a natural number and a divisor of 10}.
(v) {A, H, J, R, S, T, N} is a roster form of {x : x is a letter of the word RAJASTHAN}.
(vi) {2, 5} is a roster form of {x : x is a prime natural number and a divisor of 10}.

(i) {A, P, L, E} (vi) {x : x is a letter of the word APPLE}
(ii) {5, −5} (v) { x : x2 − 25 = 0}
(iii) {0} (i) {x : x + 5 = 5, x ∈ Z}
(iv) {1, 2, 5, 10} (iv) {x : x is a natural number and a divisor of 10}
(v) {A, H, J, R, S, T, N} (iii) {x : x is a letter of the word RAJASTHAN}
(vi) {2, 5} (ii) {x : x is a prime natural number and a divisor of 10}

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