SOLUTION: n x 11 is between 135 and 140

Algebra ->  Expressions-with-variables -> SOLUTION: n x 11 is between 135 and 140      Log On


   



Question 105092: n x 11 is between 135 and 140
Answer by kmcruz09(38) About Me  (Show Source):
You can put this solution on YOUR website!
So this will be an inequality.
We form the inequality as 135+%3C+11n+%3C+140
We can do this in two ways:
The long way is by splitting it up into two inequalities.
This will be:
135++%3C++11n and 11n++%3C++140
Then we solve it as if we are solving an equation.
%28135%29%2F11++%3C++%2811n%29%2F11 and %2811n%29%2F11++%3C++%28140%29%2F11
135%2F11+%3C+n and n+%3C+140%2F11
There, we have it.
135%2F11+%3C+n+%3C+140%2F11

The short way will be:
135++%3C++11n++%3C++140
Just divide all sides by 11.
135%2F11+%3C+11n%2F11+%3C+140%2F11
There, we're done.
135%2F11+%3C+n+%3C+140%2F11


Take note that when dividing inequalities with negative integers, the signs should be reversed.
Thank you.
~kmcruz09~