SOLUTION: Graph this system of inequalities {9x^2+25y^2<=225 {x^2+4y^2>=16

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Question 382793: Graph this system of inequalities
{9x^2+25y^2<=225
{x^2+4y^2>=16
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If you graph 9x%5E2%2B25y%5E2=225, you get an ellipse.
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When you pick a point (0,0) and test the inequality.
0%2B0%3C=225
The solution region is the area inside of the ellipse.
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Solved by pluggable solver: Plot Any Inequality
Graphing function 9x%5E2%2B25y%5E2%3C=225:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+9x%5E2%2B25y%5E2%3C=225+%29

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Similarly if you graph x%5E2%2B4y%5E2=16, you also get an ellipse.
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When you pick a point (0,0) and test the inequality.
0%2B0%3E=225
The solution region is the area outside of the ellipse.
.
Solved by pluggable solver: Plot Any Inequality
Graphing function x%5E2%2B4y%5E2%3E=16:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B4y%5E2%3E=16+%29

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So for the system of equations the solution region would be the area between the two ellipses, outside the smaller one and inside the larger one.
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