Independent Practice: Plotting an Inequality on a Coordinate Plane

To plot an inequality, you must first know how to plot an equation. If you do not, please watch the video attached on the right. If you do, please procees with the instructions given below. 

So, let us plot the following inequality: 

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Step 1: Convert the Inequality into an Equation (ie, change the > or < sign to an = sign)

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Convert the equation

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Plot the table or ordered pairs on a graph sheet (or your notebook and attach the image here)

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Now, we go back to the fact that the statement at the begining was an inequality.
So we recognize that the graph sheet has been split into two parts by the line you just drew.
Name the top region, region 1 and the bottom one, region 2.
Attach the image here.

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Now, pick one point from region 1 and put it into the inequality. Does it make logical sense?

Eg. if I chose (1,2), then I substitute x=1 and y=2 into the inequality y ≥ 2x-3. That is 2 should be greater than or equal to 2*1 -3 which is -1 and yes, 2 is ≥ -1. So (1,2) would make logical sense.

Make sure you pick a point that is not (1,2)

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Repeat the same process with a point in region 2. Does it make logical sense?

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Shade which ever region gave you the point that made logical sense and attach it here.

And that is how you represent an inequality graphically.

If that did not help, watch the video to the right. 

1

Step 1: Convert the Inequality into an Equation (ie, change the > or < sign to an = sign)

Convert the equation

Plot the table or ordered pairs on a graph sheet (or your notebook and attach the image here)

Now, we go back to the fact that the statement at the begining was an inequality. So we recognize that the graph sheet has been split into two parts by the line you just drew.Name the top region, region 1 and the bottom one, region 2.Attach the image here.

Repeat the same process with a point in region 2. Does it make logical sense?

Shade which ever region gave you the point that made logical sense and attach it here.

Try another one!

Now, we go back to the fact that the statement at the begining was an inequality.
So we recognize that the graph sheet has been split into two parts by the line you just drew.
Name the top region, region 1 and the bottom one, region 2.
Attach the image here.