Determine whether the statement is true or false. The graph of the linear equation 2x - 5y = 8 is used to graph the linear inequality 2x - 5y > 8. ..... Choose the correct answer below. False O True

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,...
icon
Related questions
Question
**Determine whether the statement is true or false.**

The graph of the linear equation \(2x - 5y = 8\) is used to graph the linear inequality \(2x - 5y > 8\).

Choose the correct answer below.

- ⚪ False
- ⚪ True

---

**Explanation:**

In graphing linear inequalities, the boundary line represented by the equation \(2x - 5y = 8\) is used to explore the inequality \(2x - 5y > 8\). The line itself is typically drawn as a dashed line to indicate that points on the line are not included in the solution set of the inequality. The area that satisfies the inequality will typically lie on one side of this boundary line and needs further shading.
Transcribed Image Text:**Determine whether the statement is true or false.** The graph of the linear equation \(2x - 5y = 8\) is used to graph the linear inequality \(2x - 5y > 8\). Choose the correct answer below. - ⚪ False - ⚪ True --- **Explanation:** In graphing linear inequalities, the boundary line represented by the equation \(2x - 5y = 8\) is used to explore the inequality \(2x - 5y > 8\). The line itself is typically drawn as a dashed line to indicate that points on the line are not included in the solution set of the inequality. The area that satisfies the inequality will typically lie on one side of this boundary line and needs further shading.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education