How do you evaluate #8r - (5r + 4) >= -31#?

1 Answer
Sep 16, 2017

#rge-9#

Explanation:

First, let's take a look at this part: #-(5r+4)#
#-(5r+4)# is the same as #-(5r)-(4)# which is #-5r-4#.
Let's add in the #8r#. The whole equation would be:
#8r-5r-4ge-31#.

#8r-5r=3r#. Now, the equation would be:
#3r-4ge-31#.
Now we will add #4# to both sides.
#3r-4color(blue)+color(blue)4ge-31color(blue)+color(blue)4#
Then we simplify to #3rge-27#. Divide both sides by #3# and you will get #rge-9#.

Answer: #rge-9#.