Are the following pair of sets equal? Give reasons.
$A = (2, 3); B$ = ( $x : x$ is solution of $x^{2} + 5 x + 6 = 0$ )

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Solution

$A$ = ( $2, 3$ ); $B$ = ( $x : x$ is a solution of $x^{2} + 5 x + 6 = 0$ }
The equation $x^{2} + 5 x + 6 = 0$ can be solved as:
$x (x + 3) + 2 (x + 3) = 0$
$(x + 2) (x + 3) = 0$
$x = - 2$ or $x = - 3$
$∴ A = (2, 3); B = (- 2, - 3)$
$∴ A \neq B$ .

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Are the following pair 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}

A = {2, 3}, B = {x : x is solution of x^{2} + 5 x + 6 = 0}

A = {x : x is a letter in the word FOLLOW}

B = {y : y is a letter in the word WOLF}

(i) A = {2, 3}, B = {x : x

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

(i i) A = {x : x

Follow}

B = {y : y

WOLF}

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