SOLUTION: Is about inequalities, I know the rule of flipping the sign if you multiply or divide by a negative numbers but a few examples confuse me. To make this inequality 5x+2y<14 into t

Algebra ->  Inequalities -> SOLUTION: Is about inequalities, I know the rule of flipping the sign if you multiply or divide by a negative numbers but a few examples confuse me. To make this inequality 5x+2y<14 into t      Log On


   

Question 1149872: Is about inequalities, I know the rule of flipping the sign if you multiply or divide by a negative numbers but a few examples confuse me.
To make this inequality 5x+2y<14 into the slope-intercept form y=mx+b, please tell me if the sign has to be flipped.
I do it like this
5x+2y<14
y<-5/2x+14/2
y<-5/2x+7
I am not dividing by a negative number but 5 is negative, 2 is positive, should I flip the sign or not?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

Do not flip.



To see this let's look at your solution step by step:

5x+2y < 14

5x+2y-5x < -5x+14   <<< subtracted 5x from both sides

   2y  < -5x+14

    y  < -(5/2)x+7  <<< divided both sides by 2



Since you did not multiply or divide by a negative number (nor did you take reciprocals) no flip of the inequality should be made.