Use a graph to show the region defined by these 2 inequalities

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Homework Help Overview

The discussion revolves around graphing the regions defined by the inequalities y < 2 and y > x. Participants are exploring how to represent these inequalities visually on a graph.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Some participants express difficulty in understanding how to interpret the inequality y > x without specific values for x. Others suggest plotting the line y = x as a starting point for visualizing the region defined by the inequalities.

Discussion Status

The discussion is active, with participants sharing their thoughts on how to approach the graphing of the inequalities. Some guidance has been offered regarding plotting the line y = x, but there is no explicit consensus on the overall approach yet.

Contextual Notes

Participants are working under the constraints of using a sketch graph and are trying to understand the implications of the inequalities without numerical values for x or y.

evosy1978
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Homework Statement


Use a sketch graph to show the region defined by y<2 and y>x


The Attempt at a Solution



y<2 is easy as its anything below y=2...

but I am totally stuck on y>x.. How can I know what y is if i don't know what x is??

thanks for any help
 
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evosy1978 said:

Homework Statement


Use a sketch graph to show the region defined by y<2 and y>x


The Attempt at a Solution



y<2 is easy as its anything below y=2...

but I am totally stuck on y>x.. How can I know what y is if i don't know what x is??

thanks for any help

Hint -- plot the line y=x...
 
oh man of course it is... because its a linear eqaution right?

so if it were y>x-2

you would plot y=x-2

and the same as y>x

you would ploy y=x

so that's diagonal 1234567 etc...

thanks
 
evosy1978 said:
oh man of course it is... because its a linear eqaution right?

so if it were y>x-2

you would plot y=x-2

and the same as y>x

you would ploy y=x

so that's diagonal 1234567 etc...

thanks

:biggrin:
 

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