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Question

Are the following pairs of sets equal? Give reasons.
(i) A = {2, 3}, B = {x : x is a solution of x2 + 5x + 6 = 0};
(ii) A = {x : x is a letter of the word " WOLF"};
B = {x : x is a letter of the word " FOLLOW"}.

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Solution

(i) A = {2, 3}
B = {-2, -3}
A is not equal to B because every element of A is not a member of B & every element of B is not a member of A.

(ii) A = {W, O, L, F}
B = {F, O, L, W}
Here, A = B because every element of A is a member of B & every element of B is a member of A.


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