### Are the following pair of sets equal? Give reasons.

(i) A = {2, 3}; B = {x: x is solution of x^{2 }+ 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)**A = {2, 3}; B = {x: x is a solution of x

^{2}+ 5x + 6 = 0}

Factorize the equation

x

^{2}+ 5x + 6 = 0

x

^{2}+ 3x + 2x + 6 =0

x(x + 3) + 2(x + 3) = 0

(x + 2)(x + 3) = 0

x = -2 or x = -3

-2 and -3 are not equal to element of set A which is 2, 3.

Hence, A ≠ B

**(ii)**A = {x: x is a letter in the word FOLLOW}

FOLLOW and WOLF both have letter W, O, L and F.

Hence, A = B.

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