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Chapter 5: Q. 326 (page 674)

Graph the systemx+2y鈮�6y鈮�-12x-4. What does the solution mean?

Short Answer

Expert verified

The solution set denotes the set of possible values that the system of equations satisfies. The graph is,

Step by step solution

01

Step 1. Given Information

The given system isx+2y鈮�6y鈮�-12x-4.

02

Step 2. Plot the first inequality

  • To plot the inequality x+2y鈮�6, draw the solid line x+2y=6because the inequality sign includes equality.
  • The point (0,0)satisfy the inequality, so shade the region that includes the origin.

03

Step 3. Plot the second inequality

  • To plot the inequality y鈮�-12x-4, draw the solid line y=-12x-4because the inequality sign includes equality.
  • The point (0,0)satisfy the inequality, so shade the region that includes the origin.

  • The solution set is the region shaded with a darker color.
  • The solution set denotes the set of possible values that the system of equations satisfies.

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