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

1 Answer
Jan 1, 2018

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]}