SOLUTION: Please help me with this problem: What is the solution to -17 - 2r < 3(r + 1)? Thank you!

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Question 487886: Please help me with this problem: What is the solution to -17 - 2r < 3(r + 1)?
Thank you!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+-17+-+2r+%3C+3%28r+%2B+1%29+
+-17+-+2r+%3C+3r+%2B+3+
Add +2r+ to both sides
+-17+%3C+5r+%2B+3+
Subtract 3 from both sides
+-20+%3C+5r+
Divide both sides by +5+
+-4+%3C+r+
Writing this from right to left,
+r+%3E+-4+ answer
check:
Suppose +r+=+-3.999+, then
+-17+-+2r+%3C+3%28r+%2B+1%29+
+-17+-+2%2A%28-3.999%29+%3C+3%28-3.999+%2B+1%29+
+-17+%2B+7.998+%3C+-11.997+%2B+3+
+-9.002+%3C+-8.997+
This is true