Mathematical Solution in Inequality

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Discussion Overview

The discussion revolves around the inequalities involving products of variables, specifically the relationships between the variables \(a\), \(b\), \(c\), \(d\), and \(f\). Participants seek to clarify the structure of the inequalities and explore potential connections between \(a\) and \(d\). The scope includes mathematical reasoning and clarification of notation.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant presents the inequalities \(axb \geq d\) and \(cxd \geq d\) and seeks to find a connection between \(a\) and \(d\).
  • Another participant questions whether 'x' is intended as a variable or as a multiplication symbol.
  • A different participant asks if the second inequality is correctly structured with \(d\) on each side.
  • Clarification is provided that 'x' is indeed meant to indicate multiplication.
  • One participant suggests that without additional information, the relationship between \(a\) and \(d\) cannot be determined, noting the importance of the signs of \(a\), \(d\), and \(b\).
  • Another participant emphasizes the potential confusion of using 'x' for multiplication and recommends using the multiplication symbol \(\times\) for clarity.

Areas of Agreement / Disagreement

Participants express differing views on the clarity of the notation used and the implications of the inequalities. There is no consensus on the relationship between \(a\) and \(d\) due to the lack of additional information.

Contextual Notes

Limitations include the ambiguity of variable signs and the structure of the inequalities, which are not fully resolved in the discussion.

Quarlep
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Hi I have a problem about Inequality.

Let's suppose we have a inequality like this:

[tex]axb≥d[/tex] and [tex]cxd≥d[/tex] so I want to find connection between a and d its possible to do something like that
Thanks
 
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Quarlep said:
Hi I have a problem about Inequality.

Let's suppose we have a inequality like this:

[tex]axb≥d[/tex] and [tex]cxd≥d[/tex] so I want to find connection between a and d its possible to do something like that
Thanks
Just to be clear, is 'x' a variable or are you using it to indicate multiplication?
 
Is the second inequality meant to involve d on each side?
 
İts a multiplication
 
I am sorry.Here the right one

[tex]axb≥d[/tex]
and [tex]cxf≥d[/tex]
 
With no further information, there isn't much you can say about the relationship between a and d. Furthermore, the second inequality is of no help.

Questions: sign of a, sign of d, sign and size of b.
 
Last edited:
Quarlep said:
İts a multiplication
Because x is used so often in algebra, trig and higher mathematics disciplines, it's bad practice to use 'x' to indicate multiplication.

It's clearer to write your inequalities like this:

ab ≥ d
cf ≥ d
 
Quarlep said:
İts a multiplication

The times symbol is not ##x##, it is ##\times##. Use "\times" to get LaTeX to write it.
 

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