Answered: Lester thinks that the solution of any…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter10: Inequalities

Section10.7: Graphing Linear Inequalities

Problem 24WE

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Lester thinks that the solution of any inequality with a > sign is the region above the line and the solution of any inequality with a < sign is the region below the line. Is Lester correct?

Expert Solution

Step 1

In this case graph can be of two type: Horizontally or vertically.

Case 1: When a graph (or line) is horizontal then we can talk about the above the line(boundary of the graph) or below the line(boundary of the graph).

Case 2: When a graph (or line) is vertical then we can talk about the right of the line(boundary of the graph) or left of the line(boundary of the graph).

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