SOLUTION: I have problems trying to understand rational inequalities. How does the equation 4x<16/(x+3) become 0<-4(x+4)(x-1)/(x+3)? what steps were taken, in other words, to get the equatio

Question 675746: I have problems trying to understand rational inequalities. How does the equation 4x<16/(x+3) become 0<-4(x+4)(x-1)/(x+3)? what steps were taken, in other words, to get the equation -4(x+4)(x-1) after moving 4x to the other side to get 0 on one side?
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!

...
Multiply both sides by (x+3)

4x(x+3) < 16
4x(x+3) - 16 < 0
...
Distribute the 4x

4(x-1)(x+4) < 0
OR

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