How Do You Plot the Inequalities Y < X and Y > -X on a Graph?

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Homework Help Overview

The discussion revolves around plotting the inequalities Y < X and Y > -X on a graph, focusing on understanding the graphical representation of these inequalities.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants explore the implications of the inequalities and consider how to represent them graphically. Questions arise about starting points and the method for plotting, including the idea of using slopes and determining which points satisfy the inequalities.

Discussion Status

The discussion is active, with participants seeking clarification on how to approach the plotting of the inequalities. Some guidance has been offered regarding sketching the functions and shading the appropriate regions, but there is no explicit consensus on the best method to proceed.

Contextual Notes

Participants are navigating the challenge of representing infinite solutions graphically and discussing the need for clarity in the plotting process.

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Homework Statement


Y<x
Y>-x


Homework Equations



None

The Attempt at a Solution



I don't know
 
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What do you think the two inequalities infer, what points on the x-y graph meet the critera? Hint: Begin by sketching Y < x, and Y > -x as two functions.
 
Im aware. But I mean plotting the points on the graph. Would I just start from (0,0) and just follow their slopes? (1/1) ;(-1/1)?
 
Plotting which points exactly? You can plot the two functions by picking values for x and deteremining y. If you're talking about plotting the points such that Y < x, and Y > -x, then you need to shade the region that meets the criteria. You wouldn't graph each point separately, as there are infinitely many.
 

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