Question

How do you solve and graph `r+6< -8` and `r-3> -10`?

Answer 1

`r < -14 \vee r > -7`

Explanation:

Let's solve the first one:
`r+6 < -8`
`r<-8-6`
`r<-14`
graph{x < -14 [-20.014, -7.527, -2.727, 3.52]}

The second one:
`r-3> -10`
`r>3 - 10`
`r> -7`
graph{x > -7 [-10.65, 0.456, -2.4, 3.154]}

To get the final answer you have to merge the 2 graphs:
`r < -14` or `r> -7`

graph{(x + 14)(x+7)>0 [-22.56, 2.77, -6.44, 6.21]}