Question

if x2-5x+8 is positive then find range of x​

Answer 1

$\huge \cal \color{red}AŋʂᏯɛཞ࿐[/tex$

If  ${\underline{ \mathtt{\red{} \green{}\mathtt\blue{ x^2 + 5x + 6 <0,} \purple{} \mathtt \orange{}\pink{}}}}\:$  then ${\underline{ \mathtt{\red{} \green{}\mathtt\blue{(x + 2) * (x + 3) < 0} \purple{} \mathtt \orange{}\pink{}}}}\:$

For ${\underline{ \mathtt{\red{} \green{}\mathtt\blue{x => -2 (x + 2) * (x + 3) } \purple{} \mathtt \orange{}\pink{}}}}\:$is positive

For ${\underline{ \mathtt{\red{} \green{}\mathtt\blue{x <= -3 (x + 2) * (x + 3)} \purple{} \mathtt \orange{}\pink{}}}}\:$ is positive and for

${\underline{ \mathtt{\red{} \green{}\mathtt\blue{(-3,-2) P(x)} \purple{} \mathtt \orange{}\pink{}}}}\:$ is negative

The answer is a)${\underline{ \mathtt{\red{} \green{}\mathtt\blue{ (-3, -2)} \purple{} \mathtt \orange{}\pink{}}}}\:$