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Chapter 5: Q. 296 (page 672)

In the following exercises, solve each system by graphing.

x-3y>4y≤-1

Short Answer

Expert verified

The solution set is the region shaded with a darker color.

Step by step solution

01

Step 1. Given Information

The given system isx-3y>4y≤-1.

02

Step 2. Plot the first inequality

  • To plot the inequality x-3y>4, draw the dashed line x-3y=4because 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 y≤-1, draw the solid line y=-1because the inequality sign includes equality.
  • The point (0,0)does not satisfy the inequality, so shade the region that does not include the origin.

  • The solution set is the region shaded with a darker color.
04

Step 4. Check the solution

  • One of the points that lie in the solution set is (0,-2).
  • Check if the point satisfies the inequalities.

0-3(-2)>?46>4-2≤-1

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

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Most popular questions from this chapter

In the following exercises, solve the following systems of equations by graphing.

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

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