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

Algebra.Com
Question 382793: Graph this system of inequalities
{9x^2+25y^2<=225
{x^2+4y^2>=16

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
If you graph , you get an ellipse.
.
.
.

.
When you pick a point (0,0) and test the inequality.

The solution region is the area inside of the ellipse.
.
Solved by pluggable solver: Plot Any Inequality
Graphing function :


.
Similarly if you graph , you also get an ellipse.
.

.
When you pick a point (0,0) and test the inequality.

The solution region is the area outside of the ellipse.
.
Solved by pluggable solver: Plot Any Inequality
Graphing function :


.
.
.
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.
.
.
.

.

RELATED QUESTIONS

* Find the solution to this system of equations, algebraically and graphically.... (answered by Edwin McCravy)
State the position of each line with respect to the ellipse 9x^2+25y^2 =225 a.)y=3x-2... (answered by Fombitz,ikleyn)
How do I graph the solution of the system of linear inequalities x<4y+2... (answered by josgarithmetic,MathLover1)
graph the equation. Identify the vertices and foci of the hyperbola. (4 problems-same... (answered by solver91311,ewatrrr)
Graph the system of inequalities x<=2... (answered by jim_thompson5910)
y>-2 x≥6 Graph the system of... (answered by Alan3354)
y>=-2 x>=3 graph the system of... (answered by ewatrrr)
Graph the system of inequalities. y=-2... (answered by Alan3354)
Graph... (answered by MathLover1)