- #1
EqualElement
- 4
- 0
Let m,n be real numbers. Prove that if n>m>0 , then (m+1)/(n+1) > m/n
I'm currently confuse in this one help will be very much needed
I'm currently confuse in this one help will be very much needed
I understand the question but don't really know how to prove it.Cbarker1 said:How are you confused?
A synthetic proof is a method of mathematical proof that uses basic axioms, definitions, and logical deductions to prove a statement or theorem. It does not rely on any previous theorems or knowledge.
Yes, it is possible to prove this statement using synthetic proof. In fact, this statement is known as the Archimedes' Axiom and is commonly used in synthetic proofs.
Synthetic proof differs from other types of mathematical proof, such as analytic proof or geometric proof, in that it relies solely on basic axioms and logical deductions rather than previous theorems or specific properties of geometric figures.
The main advantage of synthetic proof is that it provides a more intuitive and visual understanding of a mathematical statement or theorem. It also allows for the discovery of new theorems and properties without relying on previous knowledge.
One limitation of synthetic proof is that it can be more difficult to construct and may require more steps compared to other types of proofs. It also may not be applicable to all mathematical statements or theorems, as some may require more advanced techniques or knowledge.