Is x +/- 3 the most simplified form for x + 3, x - 3?

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Homework Help Overview

The discussion revolves around the simplification of the expression "x +/- 3" compared to writing it out as "x + 3, x - 3". Participants are exploring the concept of simplification in mathematical expressions and how it may be interpreted differently in various contexts.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express differing opinions on whether "x +/- 3" is more simplified than "x + 3, x - 3". Some question the criteria for simplification and whether readability plays a role in determining the simpler form. Others consider specific scenarios where one form may be preferred over the other.

Discussion Status

The discussion is active, with participants sharing their perspectives on simplification. Some suggest that context matters, while others propose that both forms could be acceptable depending on the situation. There is no clear consensus, but various interpretations are being explored.

Contextual Notes

Participants mention concerns about grading and the potential for differing expectations from the teacher regarding what constitutes a simplified form. There is also a reference to specific applications of the expressions that may influence their preference.

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Homework Statement



x +/- 3
is that mroe simplified then writing it out
x + 3, x - 3
I thought it would be becaue we normally say simple is when all of the operations that could be done is done in which case the second choice is more simple? I'm just woundering because I'm doing a summer assignment and have no idea if this teacher is a real jerk in grading and would mark it wrong if I put the first one done becaue it's not as simple as possible if it's not as simple as can be...

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I would go for x +/- 3 as being more simplified, but I would find it hard to believe that anyone would really quibble about a difference between that and x + 3, x - 3.
 
I would say the first is more simplified, but there are other cases where I would assume it's easier to read the separated version, for example:

[tex]2x-3y\pm(5x+3y)[/tex]

versus

[tex]7x, -3x-6y[/tex]

I would go with the second for this case, but for yours I would stick with the first case.
 
I think this really depends on what the information is being used for.

If the problem involves one answer, for instance, a man throwing a ball off a building (graphing a parabola), the quadratic formula would work out to the two X intercepts, but only one would be correct. In that case X=1 would be the simplified answer.

If you really have any doubt, I would just put both answers down on the assignment. I really doubt anyone would put both possibilities on a multiple choice assignment.
 

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