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Chapter 5: Q. 303 (page 672)

In the following exercises, solve each system by graphing.

x鈮�3y鈮�2

Short Answer

Expert verified
  • The solution set of the system is the area shaded in darker color including the boundary.

Step by step solution

01

Step 1. Given Information

The given system isx鈮�3y鈮�2

02

Step 2. Plot the first inequality 

  • The line x=3will be a vertical line passing through (3,0).
  • Draw a solid vertical line on the same graph.
  • The point (0,0)does not satisfy the inequality, so shade the region that excludes the origin.

03

Step 3. Plot the second inequality 

  • The line y=2will be a horizontal line passing through (0,2).
  • Draw a dotted horizontal line on the same graph.
  • The point (0,0)satisfies the inequality, so shade the region that includes the origin.

  • The solution set of the system is the area shaded in darker color including the boundary.
04

Step 4. Check the Solution

  • One of the points that lie in the solution set is (4,0).
  • Check if the point satisfies the inequalities.

4鈮�30鈮�2

  • As both the inequalities are satisfied, the solution is verified.

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