Find the solutions of the inequality
The numerator is zero for ,
while the denominator is zero at x=-3; thus we have two critical points:
The tricky part is reading off all solutions. We have to exclude x=-3, since the expression on the left side of the inequality is undefined at x=-3, but points in the "neighborhood" of x=-3 are okay. So the set of solutions is the set
only when .
When x=-3, the left side is undefined, while the right side evaluates to -6.
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