1.

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

Answer»

(i) x2 + 5x + 6 = 0

⇒ (x + 3)(x + 2) = 0 

∴ x = -3,-2 

∴ B = {-3, -2}- But A = {2, 3} 

∴ A ≠ B 

(ii) Given sets are A = {F, O, L, W} 

B = {W,0,L,F} ∴ A = B 

∵ A and B have same elements.



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