Answer:
To solve the quadratic inequality , we first need to find the critical points where the quadratic expression equals zero. These points will help us determine the intervals where the inequality is satisfied.
The quadratic expression can be factored as follows:
Setting the expression to zero to find the critical points:
This gives two critical points: and .
Now, we can analyze the inequality by plotting these critical points on a number line and testing the expression in the intervals created by the critical points.
- Test :
- Test :
- Test :
From the tests, we can see that the inequality is satisfied when or .
Therefore, the solution to the quadratic inequality is:
If you need further clarification or assistance, feel free to ask!
