Graphically, solve the inequality:

Graph each of the functions

and determine the part of the graph of **f** which is
above the graph of **g**:

Using Derive:

- Prepare the program for graphics.
- If the first menu item is
*Algebra*then press . - Press for
*Author*. - Enter the first function
abs(x-3) - Enter the second function
abs(x+4) - Press twice to get the graph.
- Depending upon whether we had used graphics earlier, we may need to zoom
in or out to get a better picture of the graph. To zoom out,
press , press
, change the direction to
*out*, if necessary, by pressing the and now press . - If necessary to zoom in or out some more, press as many times is needed to see a "complete" graph.
- By using the arrow keys, we can move a small cross to find an approximation to the intersections of the two graphs. The coordinates of the cross appear in the lower left hand corner of the screen.

Graph the function

and determine the part of the graph of **f** which is
above the **x**-axis:

Using Derive:

- Prepare the program for graphics.
- If the first menu item is
*Algebra*then press . - Press for
*Author*. - Enter the function
abs(x-3) - abs(x+4) - Press twice to get the graph.
- Depending upon whether we had used graphics earlier, we may need to zoom
in or out to get a better picture of the graph. To zoom out,
press , press
, change the direction to
*out*, if necessary, by pressing the and now press . - If necessary to zoom in or out some more, press as many times is needed to see a "complete" graph.
- By using the arrow keys, we can move a small cross to find an approximation to the intersections of the two graphs. The coordinates of the cross appear in the lower left hand corner of the screen.