The problem
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Why did we flip the sign when we did not divide by a negative?
Answer provided by our tutors
We moved the variable to the left side, so we just swtiched the sides. Meaning "0 > 3x" is the same as "3x < 0".
When solving inequalities, you might want to use the "Graph" tab.
This way you will get the following solution and a grpah of the solution.
Both solutions are correct, only the approach is bit different: