Troubleshooting Inequality: Can't Seem to Solve the Last One

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SUMMARY

The discussion focuses on solving the inequality f(x) < 0, specifically identifying the correct intervals for the function. Participants confirm that the solution excludes the points x = -2 and x = 3, as f(-2) = 0 and f(3) = 0, which do not satisfy the strict inequality. The valid solution intervals are determined to be (-∞, -2) ∪ (3, ∞).

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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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Is g(-2) > 0? No, so that part of the interval will be [math]( -\infty, -2)[/math].

-Dan
 
Also, because the question requires that f(x) be strictly less than 0, f(x)&lt; 0 you cannot include x= -2 or x= 3. f(x)&lt; 0 is true for (-\infty, -2)\cup (3, \infty).
 

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