## Example Questions

### Example Question #1 : Graphing

Solve and graph the following inequality:       Explanation:

To solve the inequality, the first step is to add to both sides:  The second step is to divide both sides by :  To graph the inequality, you draw a straight number line. Fill in the numbers from to infinity. Infinity can be designated by a ray. Be sure to fill in the number , since the equation indicated greater than OR equal to.

The graph should look like: ### Example Question #1 : How To Graph A Two Step Inequality

Points and lie on a circle. Which of the following could be the equation of that circle?      Explanation:

If we plug the points and into each equation, we find that these points work only in the equation . This circle has a radius of and is centered at .

### Example Question #3 : Graphing

Which of the following lines is perpendicular to the line ?      Explanation:

The key here is to look for the line whose slope is the negative reciprocal of the original slope.

In this case, is the negative reciprocal of .

Therefore, the equation of the line which is perpendicular to the original equation is: ### Example Question #1 : Graphing

Let D be the region on the (x,y) coordinate plane that contains the solutions to the following inequalities: , where is a positive constant Which of the following expressions, in terms of , is equivalent to the area of D?        