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

$\begin{array}{1 1}(A)\;A=B\\(B)\;A\neq B\end{array}$

## 1 Answer

$A=\{2,3\}$
Solution of $x^2+5x+6=0$
$x^2+3x+2x+6=0$
$x(x+3)+2(x+3)=0$
$(x+2)(x+3)=0$
$x=-2$ or $x=-3$
$B=\{-2,-3\}$
$\therefore A\neq B$
Hence (B) is the correct answer.
answered May 23, 2014

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