In Exercises 27–62, graph the solution set of each system of ineq...

Question

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. 2x−5y≤10, 3x−2y>6

Accepted Answer

Consider the following system of inequalities. X -4. Y is less than equal to eight and 4 X -2. Y is greater than 12. So you want to find the solution set the solutions that in the graph is given by the shaded region where both shaded areas overlap. Let's take a look at the graphic. Our first line is X -4, Y is less than equal to eight. This is given by our green line here. So everything above this green line Is going to be our solution set for X -4 Y is less than equal to eight. Similarly for the purple line, it will be our other equation for X -2, Y is greater than 12. Our solution set will be the area where both of these shaded regions overlap. We notice here that this happens right here in this shape of kind of a triangle. Let's see if you can find an answer that has this shaded area graph A does not have that shaded area graph. It also doesn't. But if you notice here, graph C looks like it has the shaded area, which is the answer to our problem is graph See Okay, hope to help you solve the problem. Thanks for watching. Goodbye

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In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. 2x−5y≤10, 3x−2y>6