1.

In the following, state whether A = B or not. (i) A = {a, b, c, d}, B = {d, c, b, a}. (ii) A = {4, 8,12,16}, B = {8, 4,16,18}. (iii) A = {2,4,6,8,10}, B = {x : x is positive even integer and x ≤ 10}. (iv) A = {x : x is a multiple of 10}, B = {10,15, 20, 25, 30, -}. (v) A = {x: x is a prime numbers ≤ 6}, B = {x: x is a prime factors of 30}.

Answer»

(i) A = B because A and B have same elements though in different order which is immaterial.

(ii) A≠B ∵ 12 ∈ A but 12 ∉ B 

(iii) A = B ∵ A and B have same elements 

(iv) A≠B ∵ 15 ∈ B 

(v) A = {2, 3, 5}, B = {2, 3, 5} ∴ A = B.



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