Interval Notation: f(x) > 36 for x < 21

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    Interval Notation
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Homework Help Overview

The discussion revolves around understanding interval notation in the context of a linear function with a positive slope, specifically focusing on the condition where f(x) > 36 for x < 21.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the interpretation of the condition f(x) > 36, with some suggesting that the interval should reflect values below 21, while others question if it could include values above 21 due to the positive slope of the line.

Discussion Status

There is an active exploration of different interpretations regarding the interval notation. Some participants are questioning the assumptions about the function's behavior and the implications of the positive slope.

Contextual Notes

Participants are navigating the constraints of the problem, particularly the requirement to express the solution in interval notation while considering the specific value of f(x) at x = 21.

shoook
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I am working with a linear line with positive slope, the points are given.

1. In interval notation write for which values f(x) > 36



2. At f(x)=36 x=21



3. I think it should look like (-inf,21)
 
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Why not (21,inf)? It has POSITIVE slope.
 
I thought it should be -inf because it asks for all values below 21, not above... what do you think?
 
Looks to me like it's asking for where f(x)>36. Draw a line with positive slope and having f(21)=36.
 

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