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. x+2y≤4, y≥x−3

Accepted Answer

Consider the following system of inequalities. X plus five. Y is less than or equal to eight and Y is greater than equal to x minus six. We want to find the solution set. So graphing solution set would be graphing the area where both solutions overlap. Look here, our first graph X plus five Y is less than or equal to eight. This corresponds with the green shaded area right below this line right here. Now we have also why is greater than equal to X -6, which is a purple area shaded above this line right here. So looking for the shaded area between these two areas, that corresponds to the darker shaded area right here. That's the part where they're both overlapping. Which means that is our answer. Let's see if we can find a graph that has the shape of shaded area. If we look down graph A does not fit that area, but graf B does and graph C does not. This means the answer to our problem turns out to be graph B. Okay, I hope to help you solve the problem. Thank you 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. x+2y≤4, y≥x−3