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Chapter 5: Q. 298 (page 672)

In the following exercises, solve each system by graphing.

y鈮�-23x+5x鈮�3

Short Answer

Expert verified
  • The solution set is the region shaded with the darker color including the boundary lines.

Step by step solution

01

Step 1. Given Information

The given system isy鈮�-23x+5x鈮�3

02

Step 2. Plot the first inequality

  • The intercepts of y=-23x+5are (0,5),(7.5,0).
  • Join the points to plot a solid line.
  • The point (0,0)satisfies the inequality, so shade the region that includes the origin.

03

Step 3. Plot the second inequality

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

  • The solution set is the region shaded with the darker color including the boundary lines.
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.

0鈮�?0+50鈮�5

0鈮�3

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

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In the following exercises, translate to a system of equations and solve.

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