
To determine: The inequality that matches with its graph with explanation.

Answer to Problem 3E
The inequality matches with the graph C.
Explanation of Solution
Given information:
The inequality:
The graphs:
A.
B.
C.
D.
Calculation:
The given inequality is
The parabola of the equivalent equation of the inequality has a positive leading coefficient which opens up. So, the inequality does not match with the graph A.
Find the zeros of the equivalent equation
To find the zeros of the above equation, factorize the equation.
Solve the above factors for x
And,
Since, the zeros of the parabola are
So, the inequality does not match with the graph B.
Now, take an arbitrary point
Substitute 0 for y and 0 for x in the given inequality.
Hence, the inequality matches with the graph C.
Chapter 3 Solutions
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