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**skeeter** -3, 0 , and 1 are in the same interval, $\displaystyle (-\infty, 5)$ ...** how about choosing one value in each of the three distinct intervals?**

$\displaystyle (-\infty, 5)$ ... $\displaystyle x = -3$

$\displaystyle (5,7)$ ... $\displaystyle x = 6$

$\displaystyle (7, \infty)$ ... $\displaystyle x = 8$

you know the inequality is true at x = 5, because it makes the inequality equal 0. A vertical asymptote exists at x = 7 ... the value of the expression is negative on the left side and positive on the right side of x = 7.

Taking a look at a graph may also help ...