3. Solve the following inequalities. a) (x+3)(x-4) < 0 b) -3x(x+7)(x-3) < 0 c) (x-3)(x+1) + (x-3)(x+2) ? 0
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a) $(x+3)(x-4) < 0$ We can find the critical points by setting each factor equal to zero: $x+3=0 \Rightarrow x=-3$ $x-4=0 \Rightarrow x=4$ Now, we can test the intervals between the critical points: Show more…
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