SOLUTION: It's been several decades since I've done this so I appreciate the help. -5x/3 + 2 > 12 = x < -6 Unfortunately I get x > -6 So my question is when using "< or >" and negative nu

Algebra ->  Inverses -> SOLUTION: It's been several decades since I've done this so I appreciate the help. -5x/3 + 2 > 12 = x < -6 Unfortunately I get x > -6 So my question is when using "< or >" and negative nu      Log On


   



Question 653130: It's been several decades since I've done this so I appreciate the help.
-5x/3 + 2 > 12 = x < -6
Unfortunately I get x > -6
So my question is when using "< or >" and negative numbers, do you reverse the "<, >" when bringing the negative to the other side of the equation?
Thanks for the help.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Using the following steps, one need not worry about the 'reverses inequality' rule
-5x/3 + 2 > 12
-5x/3 + 2 + 5x/3 > 12 + 5x/3
2 > 12 + 5x/3
-6 > x
Using this method of solving,(multiplying/dividing by negative number) Yes,reverses the inequality sign
-5x/3 + 2 > 12
%28-5%2F3%29x+%3E+10
%28-3%2F5%29%28-5%2F3%29x+%3C+10%28-3%2F5%29
x < -6