
Concept explainers
Solve by graphing:

To calculate: The solution of the inequality
Answer to Problem 1DE
Solution:
The solution of the inequality
Explanation of Solution
Given Information:
The provided inequality is
Formula used:
Steps to solve the inequality by graphing.
1. Replace the inequality sign by equal sign.
2. Find the leading coefficient in the inequality.
If the leading coefficient in the inequality is negative, then the graph opens down and if the leading coefficient is positive, then the graph opens up.
3. Set the polynomial equal to zero to find the x-intercept and also find y-intercept.
4. Plot the graph of the equation.
Zero product rule is such that if
Calculation:
Consider the inequality,
Now, the inequality
So, the equation becomes
Put the equation equals to zero to find the x-intercepts,
Use the zero product rule and simplify the above equation as,
The x-intercepts are
The leading coefficient in the polynomial
Now, find the point where the graph intersects y-axis.
Substitute
So, the y-intercept is
The table provided below shows the values of y for different values of x,
The graph of the equation
From the observation of the graph, the values of y is positive when
So, the values for which y be positive are
Therefore, the solution of the inequality
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Chapter L Solutions
Developmental Mathematics (9th Edition)
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