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≤2, y≥−1

Inequalities x ≤ 5 and y ≥ -6 for graphing systems of inequalities.

Accepted Answer

Consider the following system of inequalities. X is less than equals five. Y is greater than equal to negative six. They want to graph the solution set or state that there is no solution. So I go ahead. I'm sorry. I went ahead and graphed the equation for us on the right but we have white is greater than equals negative six X less than equals five. Now, the equation why is equal 9-6 is actually a flat horizontal line right here. That white was Native six. Similarly with our X. That is a flat vertical line At x equals five. Our answer will be the shaded area where both inequalities overlap. Be like here we have Y is greater than equals negative six. That is everything above the line. Y equals negative six with our ex. That's everything to the left of five. So you want to find the graph that has shade area above X. I'm sorry. Above Y. State of six. And to the left of X is five. Once you look at the graph that is this shaded area right here, where they overlap the shape of the shaded area would then look like a rectangle. Like. So let's see if one of our graphs matches up with the shaded area. Look at graph a. That is a rectangle however, is actually at the wrong lines. That's at the line y equals five And x equals six. So it can't be graph a graph B does have a rectangle and it looks like it hits our points where we have why is negative six here and X is five photograph C. That graph is just at the wrong direction, It's pointing downwards into the right. Do you say no solution? But there is a solution because we have somewhere that overlaps. That means the answer to our problem has an answer. B. Okay. Hope to help you solve the problem. Thank you for watching. Goodbye.

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x≤2, y≥−1

Key Concepts

Inequalities

Graphing Systems of Inequalities

Feasibility of Solutions

Watch next