Question

In: Advanced Math

For the following exercises, graph the inequality. 1/4 x2 + y2 < 4

For the following exercises, graph the inequality.

1/4 x2 + y2 < 4

Solutions

Expert Solution

Consider the following inequality

1/4x2 + y2 < 4

 

First, graph the corresponding equation 1/4x2 + y2 < 4. Since 1/4x2 + y2 < 4 has a less than symbol, draw the graph with a dashed line. Then choose points to test both inside and outside the parabola. Let’s test the points (-7, 1) and (1, 2). One point is clearly inside the parabola and the other point is clearly outside as shown in the following graph of inequality:


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