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Graph 3 Systems of Inequalities











































System of inequalities - problem 1

y < x + 4
y ≥ -x + 4


System of inequalities - problem 2

x + 3y ≤ 15
x + y ≥ 12


System of inequalities - problem 3

-x² + y ≥ 3
5y ≤ 20


Solve each system of inequalities by graphing.

Show every region which contains a solution.

Comments for Graph 3 Systems of Inequalities

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Jul 01, 2012
Graphing Systems of Inequalities
by: Staff


The answer:


System of inequalities - problem 1

y < x + 4
y ≥ -x + 4



Open the following link to view the graphical solution:

The solution set for y < x + 4 is the area below the dashed red line (does not include the dashed red line).
The solution set for y ≥ -x + 4 is the area above the green line (including the green line).

The yellow shaded area is solution set which satisfies both inequalities at the same time.


(1) If your browser is Firefox, click the following link to VIEW the VENN Diagram; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page

http://www.solving-math-problems.com/images/graph-inequality-system-solution-01-2012-07-01.png



System of inequalities - problem 2

x + 3y ≤ 15
x + y ≥ 12


Open the following link to view the graphical solution:

The solution set for x + 3y ≤ 15 is the area below the red line (including the red line).
The solution set for x + y ≥ 12 is the area above the green line (including the green line).

The yellow shaded area is solution set which satisfies both inequalities at the same time.


(1) If your browser is Firefox, click the following link to VIEW the VENN Diagram; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page

http://www.solving-math-problems.com/images/graph-inequality-system-solution-02-2012-07-01.png



System 3

-x² + y ≥ 3

5y ≤ 20


Open the following link to view the graphical solution:

The solution set for -x² + y ≥ 3 is the area above the red line (including the red line).
The solution set for 5y ≤ 20 is the area below the green line (including the green line).

The yellow shaded area is solution set which satisfies both inequalities at the same time.


(1) If your browser is Firefox, click the following link to VIEW the VENN Diagram; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page

http://www.solving-math-problems.com/images/graph-inequality-system-solution-03-2012-07-01.png




Thanks for writing.

Staff
www.solving-math-problems.com



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