In Problems 18-19, solve each quadratic inequality.
18.
To calculate: The solution to the given quadratic inequality.
Answer to Problem 18RE
The solution of the given inequality is .
Explanation of Solution
Given:
The given function is .
Formula used:
In order to find the solution to the given quadratic inequality, we have to draw the graph of the quadratic equation and then, from the graph, determine where the function is increasing or decreasing.
Calculation:
Here, we have to graph the quadratic equation .
Let us find the and coordinates, by substituting and , respectively, in the quadratic equation.
When , we get
When , we get
Thus, the function intersects the at and the function has intersects, at and .
The vertex of the given function is
Thus, the vertex is at .
The graph of the equation is
From the graph, we can see that the function is less than 0 in the interval .
Thus, the solution to the given inequality is .
Chapter 3 Solutions
Precalculus Enhanced with Graphing Utilities
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