Question

How do you solve `x^2+7x+10>0` using a sign chart?

Answer 1

`x<-5` or `x>-2`

Explanation:

Just see https://socratic.org/questions/how-do-you-solve-x-3-7x-2-10x-0

and try on similar lines

we have

Sign Chart

`color(white)(XXXXXXXXXXX)-5color(white)(XXXXX)-2`

`(x+5)color(white)(XXXX)-ive color(white)(XXXX)+ive color(white)(XX)+ive`

`(x+2)color(white)(XXXX)-ive color(white)(XXXX)-ive color(white)(XX)+ive`

`(x+5)(x+2)`
`color(white)(XXXXXXXX)+ive color(white)(XXXX)-ive color(white)(XX)+ive`

`x^2+7x+10>0` when `x<-5` or `x > -2`