In math class, sometimes you are asked to graph an inequality along a number line. Problems are often stated like "Graph $|x|>2$" or
"Sketch $|x+2|<5$." These problems are often quite difficult and involve getting some logic of absolute values ironed out.

Turns out, they are a snap to solve on the computer using a

Turns out, they are a snap to solve on the computer using a

`for-loop`

, `if`

statement, and some simple graphics using `pset`

. Here's
how this will work. We'll clear the screen, and draw the xy-coordinate grid in a white color. Then we'll select 1000 random values for $x$
between -250 and 250 (the width of the plotting screen). The `if`

statement asks if the inequality is `true`

..if so, we'll draw
a small circle at the random $x$ coordinate chosen. The resulting graph will be the graphed inequality! Wow!
`if`

and `then`

. Try `math.abs(x) > 20`

to graph $|x|>20$. When the plot
is finished, you can investigate it using the mouse pointer and the x,y coordinates over which you move it.
Type your code here:

See your results here:

The code here will not run. The true/false question in the

`if`

statement needs to filled in with the absolute value relation
that you wish to plot. For example, if you want to graph the inequality $|x|<10$, then you'd program `math.abs(x) < 10`

in between
the `if`

and `then`

statement.