For each real number x, let f(x) be the minimum of the numbers 4x+1,

azizlwl
For each real number x, let f(x) be the minimum of the numbers 4x+1, x+2, and -2x+4. What is the maximum value of f(x)?

Mentor

For each real number x, let f(x) be the minimum of the numbers 4x+1, x+2, and -2x+4. What is the maximum value of f(x)?
Is this a homework problem?

azizlwl

Is this a homework problem?

No, Sir.
It is too taken from The Advanced Mathematical Thinking where the author said it can be solved by reversal tactic.

Sorry if it is incomplete since I copied whatever written in the book.

Is there a range for these numbers, i.e., is x any real number, integer, subset of these

or other?

azizlwl

Is there a range for these numbers, i.e., is x any real number, integer, subset of these

or other?

http://img214.imageshack.us/img214/5270/35240583.jpg [Broken]
http://img850.imageshack.us/img850/1995/68878748.jpg [Broken]

Last edited by a moderator: