SOLUTION: Solving inequalities with two variables I need an example of this and a way to solve it. thank you

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Question 118165: Solving inequalities with two variables

I need an example of this and a way to solve it.
thank you

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

For example, look at the graph of following equality:
.
Solved by pluggable solver: PLOT a graph of a function
Plotting a graph:

This solver uses formula rendering system and here's the actual formula that was plotted:

graph( 600, 400, -15, 15, -10, 15, (-2/3)x+2 )



Recall that when a line is drawn in a plane, the line divides the plane into three sets of points:
and the .

Now, consider the solution to ..
Recall that the solution is of these along with the.
Note that would result in the same half-plane;.
One method for the is to "" the with the coordinates of a point that is on the line.
If the coordinates the inequality, then in that are solutions.
We then .
Usually the point =(,) is the simplest -provided the line through the.
In this example, the (,) satisfies the inequality and gives us the solution:
On graph above, shade the and the which lies on the left from the line.

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