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Example Question #10 : Quadratic Inequalities
Which value for would satisfy the inequality ?
Possible Answers:
Not enough information to solve
Correct answer:
Explanation:
First, we can factor the quadratic to give us a better understanding of its graph. Factoring gives us: . Now we know that the quadratic has zeros at and . Furthermore this information reveals that the quadratic is positive. Using this information, we can sketch a graph like this:
We can see that the parabola is below the x-axis (in other words, less than ) between these two zeros and .
The only x-value satisfying the inequality is .
The value of would work if the inequality were inclusive, but since it is strictly less than instead of less than or equal to , that value will not work.
Rohit K
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Saint Mary's University of Minnesota, Bachelor of Technology, Computer Software Engineering.
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