SOLUTION: Solve using the multiplication principle: -2x>1/9 Thanks!!

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Question 241952: Solve using the multiplication principle:
-2x>1/9
Thanks!!
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
When we multiply or divide a negative number on both sides of an inequality, the inequality symbol changes direction.
In order to simplify this inequality, we will need to divide by negative 2 on both sides to determine the result.
-2x%3E1%2F9
Notice I'll change the inequality symbol in the next step.
%28-2x%2F-2%29%3C%281%2F9%29%2F%28-2%29
Dividing a fraction by an integer or another fraction is the same as multiplying the fraction by the reciprocal of the other term.
So: %28-2x%2F-2%29%3C%281%2F9%29%2F%28-2%29 = %28-2x%2F-2%29%3C%281%2F9%29%281%2F-2%29
x%3C-%28%281%2A1%29%2F%289%2A2%29%29
x%3C-%281%2F18%29
.
Done!