Solving a rational inequality with excluded endpoints

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ahbm
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Trying to get the last one, but not able to do it. What am I missing. I know that I can't but [-2,infinity] or [3,infinity] because for -2, and 3 y=0 and is not > 0. Any help appreciated.
 
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  • Graph of a downward-opening parabola g(x) crossing the x-axis near x = -2 and x = 3, peaking near y = 2, with a question asking for the interval where g(x) is less than 0.
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Also, because the question requires that f(x) be strictly less than 0, [tex]f(x)< 0[/tex] you cannot include x= -2 or x= 3. [tex]f(x)< 0[/tex] is true for [tex](-\infty, -2)\cup (3, \infty)[/tex].