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Feb23-12, 04:58 PM
P: 21,272
Quote Quote by Cinitiator View Post
1. The problem statement, all variables and given/known data
How to use mathematical notation to express the largest x for which an equation is true?

For example, how to express the largest x for which A(x) = B(x)? I need to be able to give the instruction to find the largest x for which A(x) = B(x) is true, but I wonder if it can be written down in a more algebraic manner, instead of relying purely on language.

2. Relevant equations

3. The attempt at a solution
max{x [itex]\in[/itex] R : A(x) = B(x)}

In words, this repesents the largest real number x for which A(x) = B(x). You didn't say, but I'm assuming you mean real number values.

Typically, this would be a set with a finite number of values in it, of which you want the largest. If the solution set of the equation A(x) = B(x) has infinitely members, there won't be a largest value.