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Chapter 5: Q. 307 (page 673)

In the following exercises, solve each system by graphing.

-2x+6y<06y>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-2x+6y<06y>2x+4.

02

Step 2. Plot the first inequality 

  • The intercepts of -2x+6y=0is(0,0).
  • Another point on the line is(3,1)
  • Join the points to plot a dotted line.
  • The point localid="1648060848240" (0,1)does not satisfy the inequality, so shade the region that excludes the point (0,1).

03

Step 3. Plot the second inequality

  • The intercepts of 6y=2x+4are 0,23,-2,0.
  • 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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