SOLUTION: Solve the inequality: x^2 - 10x - 24 < 0
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Question 114456: Solve the inequality: x^2 - 10x - 24 < 0
Found 2 solutions by edjones, solver91311:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
f(x)<0 when 2 < x < 12
See the graph.
Ed
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
First step is to factor the trinomial.
The trinomial, expressed as a function of x graphs as a parabola, convex up, that crosses the x-axis at (12,0) and (-1,0). The zeros divide the x-axis into three intervals , , .
Since the inequality has the expression less than zero, we are interested in the interval where the graph is below the x-axis. Since this is a concave up parabola (the a coefficient is positive), the desired interval is . See graph.
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