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Chapter 5: Q. 305 (page 672)

In the following exercises, solve each system by graphing.

2x+4y>4y鈮�-12x-2

Short Answer

Expert verified

There is no solution of the system.

Step by step solution

01

Step 1. Given Information

The given system is2x+4y>4y鈮�-12x-2.

02

Step 2. Plot the first inequality 

  • The intercepts of 2x+4y=4are (0,1),(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.

03

Step 3. Plot the second inequality

  • The intercepts of y=-12x-2are (0,-2),(-4,0).
  • Join the points to plot a solid line.
  • The point (0,0)satisfies the inequality, so shade the region that includes the origin.

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

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