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Chapter 4: Q 315 (page 473)

In the following exercises, solve each system by graphing.

y鈮�3x-1-3x+y>-4

Short Answer

Expert verified

The solution of the equation is dark shaded region.

Step by step solution

01

Given information.  

Given system of equation,

y鈮�3x-1-3x+y>-4

02

Graph the system of equations. 

The system of equation y=3x-1

has intercept x=0.3,y=-1. The boundary is solid. Origin does lies within as putting

0鈮�-1

which holds true.

03

Calculating for second equation. 

For -3x+y=4,

the intercepts are x=-1.3,y=4testing the point (0,0),

we get

0>-4,

which is true hence, the origin is contained in it.

04

Plotting the graph.  

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Most popular questions from this chapter

A small jet can fly 1435miles in 5hours with a tailwind but only 1215miles in 5hours into a headwind. Find the speed of the jet in still air and the speed of the wind.

A motor boat traveled 18miles down a river in two hours but going back upstream, it took 4.5 hours due to the current. Find the rate of the motor boat in still water and the rate of the current. (Round to the nearest hundredth).

Write a uniform motion problem similar to Example 4.15that relates to where you live with your friends or family members. Then translate to a system

of equations and solve it.

Solve the systems of equations by substitution.

x-2y=-52x-3y=-4

Determine whether the ordered pair is a solution to the system x-3y=-8-3x-y=4

  1. (2,-2)
  2. (-2,2)
See all solutions

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