Salutations, fellow visitors of Mathland!
How have you all been?
Good I hope.~
I must tell you, but I have just learned about the most fascinating piece of knowledge. It has compelled me so much that I must share it with you all.
This fascinating thing is known as "graphing systems of inequalities".
Let us start, yes?~
In the beginning of this lesson, we must review the three equations of the three different graphs:
Line: y=mx + b
Parabola: y = (x-h)^2 + k
Circle: x^2 + y^2 = r^2
Here are the steps to graphing the equations:
1) Determine which graph is used and graph each equation.
2) Pick a test point that is not on the line.
3) Shade the plane containing the test point if the test point satisfies the equation. Shade the other plane if it does not.
Also make sure to pay attention to the signs.
If the sign is greater or less than and equal to then the graphed line is solid.
If the sign is only greater than or less than, then the graphed line is dashed.
Below is an example:
Well, that is all for now! See you next time.~
Goodbye.~
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