Solve the inequality algebraically
Required solution set is
we have a given inequality
Zeros of inequality
Now we use the zeros to separate the real number line into intervals.
Now we select a test number in each interval found in Step 3 and evaluate at each number to determine if is positive or negative.
In the interval we chose -2 where f is negative
In the interval we chose -0.5 , where f is positive.
In the interval (0,3) we chose 2.5 , where f is negative.
In the interval we chose 4 , where f is positive.
We know that our required inequality is
Here the inequality is not strict so we have to exclude the solutions of in the solution set.
So we want the interval where f is positive.
So the required solution set is
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