SOLUTION: Please help me solve this equation: 6(r-8)+5>7(r+2)-22

Algebra ->  Inequalities -> SOLUTION: Please help me solve this equation: 6(r-8)+5>7(r+2)-22      Log On


   

Question 123710:
Please help me solve this equation:
6(r-8)+5>7(r+2)-22
Found 2 solutions by Fombitz, checkley71:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
6%28r-8%29%2B5%3E7%28r%2B2%29-22
%286r-48%29%2B5%3E%287r%2B14%29-22Distributive property, both sides.
6r-43%3E7r-8Simplify.
6r-7r-43%3E7r-7r-8Subtract (7r) from both sides.
-r-43%3E-8Simplify.
-r-43%2B43%3E-8%2B43Add 43 to both sides.
-r%3E35
r%3C-35Multiply both sides by (-1), change direction of inequality sign.

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
6(R-8)+5>7(R+2)-22
6R-48+5>7R+14-22
6R-7R>14-22+48-5
-R>35
R<-35 WHEN YOU DIVIDE BY A NEGATIVE THE > SIGN CHANGES TO A < SIGN.
PROOF.
LET R=-35.1
6(-35.1-8)+5>7(-35.1+2)-22
6*-43.1+5>7*-33.1-22
-256.6+5>-231.7-22
-251.6>-253.7