SOLUTION: Solve this inequality to describe all possible values of x: {{{ 3/x > 4/x }}} I have not yet had an inequality with a variable on both sides, so am stuck. I have multipl

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In this case, you can solve this problem the following way...


Start with the given inequality.


Cross multiply


Subtract from both sides.


Combine like terms on the left side.


Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.


Reduce.


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Answer:

So the solution is




So the answer in interval notation is


Also, the answer in set-builder notation is


Here's the graph of the solution set