Inequalities with automatic shading? Desmos has you covered. Test your hand at these three challenges.

### Basic

Goal: Use one expression line to graph the shaded inequality shown below.

Hint: Want a little extra Desmos magic? Try typing > and then = on your keyboard. (The same nifty conversion happens with < and then =.)

### Advanced

Goal: Use one expression line to graph the shaded inequality shown below.

Hint: You may want to try something of the form function <= y <= function.

Hint: Hmm… Seems periodic…

### Legendary

Goal: Use two expression lines to graph the circle slices shown below.

Hint: This monster requires an inequality-list-domain-restriction combo. You may want to revisit this legendary challenge after completing a challenge or two from the “restrictions” section.

### Solutions

Get ’em here.

### You Create

Use what you’ve learned about inequalities to create your own amazing graph. Share it here.

(Need some help with how to share a graph? Check out 11 Challenges: Saving and Sharing (#9).)

## Comments 1

$x^2+y^2\le 6^2\left\{\cos 2\pi x>0\right\}$