Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
The system of equations x + 4y = 10 is shown on the graph below.
![The system of equations \( x + 4y = 10 \) is shown on the graph below.
\[ 3x - 2y = 12 \]
(Graph Description: The graph features a coordinate plane with two lines. The first line, representing the equation \( x + 4y = 10 \), has a positive slope and crosses the y-axis at \( y = 2.5\). The second line, for the equation \( 3x - 2y = 12 \), has a negative slope and crosses the x-axis at \( x = 4\). Both lines intersect each other in this coordinate plane context.)
Which THREE ordered pairs are contained in the solution set to the system of inequalities shown below?
\[ x + 4y \geq 10 \]
\[ 3x - 2y < 12 \]
Choices:
- A. \( (0, 0) \)
- B. \( (-5, 0) \)
- C. \( (10, 0) \)
- D. \( (-5, 10) \)
- E. \( (0, 8) \)
- F. \( (1, 9) \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3a78219-de9b-4f75-975f-a6dcd91b5195%2F0ecedca3-7484-44fe-b7ed-550979e84e41%2Fbzw43m9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The system of equations \( x + 4y = 10 \) is shown on the graph below.
\[ 3x - 2y = 12 \]
(Graph Description: The graph features a coordinate plane with two lines. The first line, representing the equation \( x + 4y = 10 \), has a positive slope and crosses the y-axis at \( y = 2.5\). The second line, for the equation \( 3x - 2y = 12 \), has a negative slope and crosses the x-axis at \( x = 4\). Both lines intersect each other in this coordinate plane context.)
Which THREE ordered pairs are contained in the solution set to the system of inequalities shown below?
\[ x + 4y \geq 10 \]
\[ 3x - 2y < 12 \]
Choices:
- A. \( (0, 0) \)
- B. \( (-5, 0) \)
- C. \( (10, 0) \)
- D. \( (-5, 10) \)
- E. \( (0, 8) \)
- F. \( (1, 9) \)
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