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

Q.5 Are the following pair of sets equal ? Give reasons.

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

Answers (1)

As given,

A = {2,3}

And,

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

x\left ( x+3 \right ) + 2\left ( x+3 \right )= 0

\left ( x+2 \right ) ( x+3 \right ))= 0

x = -2 and -3

B = {-2,-3}

Comparing elements of A and B,we conclude elements of A and B are not equal.

Hence,A\neqB.

Posted by

Safeer PP

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