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Chapter 5: Q. 308 (page 673)

In the following exercises, solve each system by graphing.

-3x+6y>124y鈮�2x-4

Short Answer

Expert verified

There is no solution of the system.

Step by step solution

01

Step 1. Given Information

The given system is-3x+6y>124y鈮�2x-4.

02

Step 2. Plot the first inequality

  • To plot the inequality -3x+6y>12, draw the dotted line -3x+6y=12because the inequality sign does not include equality.
  • The point (0,0)does not satisfy the inequality, so shade the region that does not include the origin.

03

Step 3. Plot the second inequality

  • To plot the inequality 4y鈮�2x-4, draw the solid line 4y=2x-4because the inequality sign includes equality.
  • The point (0,0)does not satisfy the inequality, so shade the region that does not include the origin.

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

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