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Chapter 5: Q. 306 (page 673)

In the following exercises, solve each system by graphing.

x-3y鈮�6y>13x+1

Short Answer

Expert verified

There is no solution of the system.

Step by step solution

01

Step 1. Given Information

The given system isx-3y鈮�6y>13x+1

02

Step 2. Plot the first inequality

  • The intercepts of x-3y=6are (0,-2),(6,0).
  • Join the points to plot a solid line.
  • 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 intercepts of y=13x+1are (0,1),-3,0.
  • Join the points to plot a dotted line.
  • The point (0,0)does not satisfy the inequality, so shade the region that excludes the origin.

  • As there is no common region of the two solutions sets, the system has no solution.

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