SOLUTION: -9(x-8)+27 < -4(-5x-5)-3x

Question 851355: -9(x-8)+27 < -4(-5x-5)-3x
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
-9(x-8)+27 < -4(-5x-5)-3x
-9X+72+27 < 20X+20-3X
-9X-20X+3X < 20-72-27
-26X < -79
X > -79/-26 NOTE THE SIGN CHANGE BECAUSE WE'RE DIVIDING BY A NEGATIVE VALUE.
X > 3.038 ANS
PROOF:
LET X=3.1
-9(3.1-8)+27 < -4(-5*3.1-5)-3*3.1
-9*-4.9+27 < -4(-15.5-5)-9.3
44.1+27 < -4*-20.5-9.3
71.1 < 82-9.3
71.1 < 72.7

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