Is the point P(0,2) in the region bounded below by y=x

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Homework Help Overview

The discussion revolves around determining whether the point P(0,2) lies within the region defined as being bounded below by the line y=x. Participants express confusion regarding the term 'bounded below' and its implications for the position of the point relative to the x-axis and the line itself.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the meaning of 'bounded below' and question whether it refers to the position of the point relative to the x-axis or the line y=x. There are attempts to clarify the definition of the region in question.

Discussion Status

Some participants suggest that the point is indeed above the line y=x, while others confirm this interpretation. The discussion reflects varying levels of understanding about the terminology used in the problem.

Contextual Notes

There appears to be confusion regarding the terminology and how it applies to the specific point and its relation to the defined region. The original poster expresses uncertainty about the question's wording.

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Homework Statement


Is the point P(0,2) in the region bounded below by y=x

I'm not quite sure i understand this question. the 'bounded below' part mainly. Is it asking if the point is below the x axis? The wording is confusing me

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The Attempt at a Solution


I think the answer is no. because the point is above the x axis
 
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The region bounded below by y = x is the set of points not below the graph of y=x. Or, to put it another way, the set of points on or above that graph.
 


so the answer is actually yes coz it is above the graph
 

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