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

1 Answer
Jan 1, 2018

Answer:

#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]}