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 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 word “APPLE”}

Asked by Aaryan | 1 year ago | 80

**(i) **{A, P, L, E}** ⇔ **{x: x is a letter of word “APPLE”}

**(ii)** {5,-5} **⇔ **{x: x^{2} – 25 =0}

The solution set of x^{2} – 25 = 0 is x = ±5

**(iii)** {0}** ⇔ **{x: x+5=5, x ∈ z}

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

**(iv) **{1, 2, 5, 10} **⇔ **{x: x is a natural and divisor of 10}

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

**(v)** {A, H, J, R, S, T, N} **⇔ **{x: x is a letter of the word “RAJASTHAN”}

The distinct letters of word “RAJASTHAN” are A, H, J, R, S, T, N.

**(vi)** {2, 5} **⇔ **{x: x is a prime natural number and a divisor of 10}

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

Answered by Sakshi | 1 year agoFind the symmetric difference A Δ B, when A = {1, 2, 3} and B = {3, 4, 5}.