Chapter 6.6, Problem 33PPE

To determine

To find: The region that represents the solution of the system $y\le -\frac{3}{2}x-2$ , $3y-9x\ge 6$

Answer to Problem 33PPE

The option C is correct.

Explanation of Solution

Given information:

  

The regions that represent solutions of inequalities $y\le -\frac{3}{2}x-2$ and $3y-9x\ge 6$ are

A. I B. II C. III D. IV

Formulaused:

The inequalities are graphed using graphing calculator.

  

The graphs of inequalities $y\le -\frac{3}{2}x-2$ and $3y-9x\ge 6$ are shown in Figure-1.

The double shaded region is the solution of given system of inequalities that is region III.

Conclusion:

The option C is correct.