### Post: Graphing Inequalities

Equations without an equal sign is an inequality...

An inequality only has a

**> (greater than),**

**< [less than],≥ [greater than or equal to**], and

**≤ [less than or equal to**] sign...

a graph of an inequality does NOT appear as a line...

if it has the

**greater than sign**.. it means that all the values

*above*the line is your solution...

if it is

**less than**.. all values at the

*bottom*of the line is your solution..

if it is greater than or equal to, or less than or equal to same rules apply but the line of the graph becomes solid

**AND**- Intersection

**OR**- Union Intersection...

it is where the two graphs both have the same points for their solutions Union- all possible solutions for both graphs

HOW TO SOLVE USING YOUR TI-38:

Step 1: Enter the two points...

/Y

_{1}= x

/Y

_{2}= -x

Step 2: Put your cursor in the first character(** the slash thing) and press enter...

/ <-- I mean this one... it should look like a right triangle... one with the right triangle below means less than... one with the right triangle above means greater than... EX: y≤ x AND y≤ -x

**Gray part and the Black part** is the solutions for y= x and y= -x or the **UNION...**

The **Black** part is the **INTERSECTION...**

**For QuAdRaTiC FuNcTiOnS...**

**EX:**

**y≤ x ^{2}**

^{}I am not quite sure about this since i didn't understand it that well...

So the next scribe is.........

hmmm....

???..

## 3 Comments:

Miles, this is an amazing post. Excellent job, and now I've just come to expect these kinds of posts from you. Keep up the fantastic work.

8:08 AM

good job Miles

4:30 PM

well... i found a minor error in my post... the first figure is not suppose to have a solid line on it... it was suppose to be dotted or there should be no black line on there..

hehehe...

12:00 AM

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