Question 23326
I know this problem has already been solved in algebra.com, but I wanted to show how a graphing calculator (or graphing by algebra.com) can be used to solve an inequality.  


First graph {{{y=3x-x^2}}}, and find the points where the graph crosses or touches the x axis.  Draw the graph, and from the previous solution that was posted by another tutor, you should already have the values of x= 0 and x= 3.  If you did NOT already have the values of x=0 and x=3, then if you have the graph, then find the x-intercepts. 


{{{graph(400,400, -10,10,-10,10, 3x-x^2 ) }}}


The problem says to solve where {{{3x-x^2 >0}}}, and ">0" means to find all the values of x, where this graph is ABOVE the x-axis.  That would be all values of x between 0 and 3.  Final answer:  {{{0<x<3}}}, which in interval notation is (0,3).


R^2 at SCC