To solve the inequality and then graph the solution set.
Answer to Problem 18E
The solution of the inequality
Explanation of Solution
Given information:
The given equation is
Calculation:
Consider the inequality
Solve the above inequality,
Next, use the identity
Now,factorize
Further,
Also,
Thus, the critical points are
Choose a value of
Following table shows the values of polynomial for each interval.
Test intervals | Polynomial value | Conclusion | |
0 | Positive | ||
3 | Negative | ||
5 | Positive |
From the above table it can be observed that the above inequality is satisfied on the interval
Therefore, the solution set consists of all real numbers in the interval
The above number line represents the solution of the inequality
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
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