Question 196337:  i dont understand how to do this problem: 
-2/3x<20 
ive been workin at it almost all day im really dont understand it 
 Found 2 solutions by  RAY100, edjones: Answer by RAY100(1637)      (Show Source): 
You can  put this solution on YOUR website! -2/3 x < 20 
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multiply  thru  by  +3/2 
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-x < 3*20/2 
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-x < 30 
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Remember  when  we  multiply (or  divide)  an  inequality  by  (-1) ,,,, 
we  must  flip (change)  inequality  sign. 
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multiplying  by  (-1)  thru out 
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x> -30,,,,,,answer 
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checking 
for  x= -29,,,,(# larger  than  -30),,,,,,      -2/3 (-29) < 20 ,,,,,,, +19.33 < 20,,,,,ok 
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for  x=-30,,,,,(# = - 30),,,,,-2/3 (-30) <20,,,,,,,,+ 20 < 20,,,,  no  but  equal 
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for  x = -31,,,,,(# smaller  than  -30),,,, -2/3 (-31) <20 ,,,,, + 20.67 < 20,,,,  no 
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 Answer by edjones(8007)      (Show Source): 
You can  put this solution on YOUR website! (-2/3)x<20 I assume that this is the problem. 
-2x/3<20 
-2x<60 
x>30 remember to reverse the inequality sign when dividing by a negative number. 
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Ed 
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