Are the following pair of sets equal? Give re | vedclass

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(B) Given sets are $A = \{ 2, 3 \}$ and $B = \{ x : x 	ext{ is a solution of } x^2 + 5x + 6 = 0 \}$.To find the elements of set $B$,we solve the quad

Vedclass · Accepted Answer

No,they are not equal.

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(B) Given sets are $A = \{ 2, 3 \}$ and $B = \{ x : x 	ext{ is a solution of } x^2 + 5x + 6 = 0 \}$.To find the elements of set $B$,we solve the quadratic 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 $x = -3$Thus,$B = \{ -2, -3 \}$.Comparing set $A$ and set $B$:$A = \{ 2, 3 \}$$B = \{ -2, -3 \}$Since the elements of $A$ and $B$ are not the same,$A 
eq B$.

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

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