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Chapter 6: Q69. (page 392)

Solve each system of inequalities by graphing.

y<3x鈭�1y鈮�鈭�2x+4

Short Answer

Expert verified

The solution of the system of inequalities is double shaded region in the graph given below:

Step by step solution

01

Step 1. Graph the inequalities.

Here the equations are:

y<3x鈭�1andy鈮�鈭�2x+4

The strategy is to solve the inequalities by graphing. The graph of the system of inequalities is drawn as below:

02

Step 2. State interpretation of the graph.

The graph ofy=3x鈭�1 is dashed (the line in black) and is not included in the graph of the solution. The graph ofy=鈭�2x+4 (the line in brown) is solid line and therefore, is included in the graph of the solution.

03

Step 3. State the conclusion.

The solution of the system is the set of ordered pairs in the intersection of the graphs of y<3x鈭�1and y鈮�鈭�2x+4. This region is green double shaded region.

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Most popular questions from this chapter

Use the graph to determine whether each system is consistent or inconsistent and if it is independent or dependent.

y=鈭�2x+3y=鈭�2x鈭�3

Perform the indicated matrix operation.

[5鈭�6鈭�94]+[2鈭�3鈭�42]

Determine the best method to solve each system of equations. Then solve the system.

6x+5y=9鈭�2x+4y=14

Write the equation in Slope-intercept form with a slope of鈭�23 and a y-intercept 6.

The cost of two groups going to an amusement park is shown in the table.

Group
Total Cost
4adults,2children
\(184
localid="1647549424859" 4adults,localid="1647549450994" 3children
\)200

a. Define variables to represent the cost of an adult ticket and the cost of a child ticket.

b. Write a system of equations to find the cost of an adult ticket and the cost of a child ticket.

c. Solve the systems of equations, and explain what the solution means.

d. How much will a group of 3 adults and 5 children be charged for admission?
See all solutions

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