SOLUTION: -7x > 1/15 Solve using the multiplication principle. Will someone please help with this, this is my last one that I really do NOT understand. I am going to try to figure out som

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: -7x > 1/15 Solve using the multiplication principle. Will someone please help with this, this is my last one that I really do NOT understand. I am going to try to figure out som      Log On


   

Question 142663: -7x > 1/15
Solve using the multiplication principle. Will someone please help with this, this is my last one that I really do NOT understand. I am going to try to figure out some of the others with things I have learned from all of you here. Thanks again for your help everyone!!
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
All of these inequalities use the same principles as the arithmetic you already know with one additional thing to consider. That is, whenever you multiply or divide the equation by a negative number, the direction of the inequality changes.
So let's go step by step.
Given -7x+%3E+1%2F15
First thing to do is to move the 7 from left side to right. To do that, divide both sides by 7
%28-7x%29%2F7+%3E+%281%2F15%29%2F7
-x+%3E+1%2F105
Next, you need to get rid of the negative 1 (-1) on the left side. This time, multiply both sides by (-1)
+%28-1%29%28-x%29+%3C+%28-1%29%2A%281%2F105%29 notice we changed the direction of the inequality
x+%3C+-1%2F105