Chapter 11.2, Problem 92STP

To determine

Solve the system of inequalities $x^2+y^2\ge 4;4x^2+9y^2\le 36$ by graphing

Answer to Problem 92STP

Solution is the common portion of the system of inequality.

Explanation of Solution

Given:

The system of inequalities $x^2+y^2\ge 4;4x^2+9y^2\le 36$

Concept Used:

First we graph each inequality separately and then show the graph with both inequality.

Calculation:

Graph of $x+y\le 2$

Graph of :$4x^2-y^2\ge 4$

Graph of the system of inequality:$x^2+y^2\ge 4;4x^2+9y^2\le 36$

  

Thus, Solution is the common portion of the system of inequality.