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

Question 200540: Solve this inequality to describe all possible values of x:

I have not yet had an inequality with a variable on both sides, so am stuck. I have multiplied both sides by x but do not know where to go from here:
Am I on the right track?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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

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