ainster31 said:Homework Statement
Homework Equations
The Attempt at a Solution
$$Counter-example:\quad let\quad a=-1\quad and\quad b=-2.\\ \\ -1\quad <\quad \frac { -3 }{ 2 } <-2$$
I have to prove it but it seems like the question is wrong.
ainster31 said:Homework Statement
Homework Equations
The Attempt at a Solution
$$Counter-example:\quad let\quad a=-1\quad and\quad b=-2.\\ \\ -1\quad <\quad \frac { -3 }{ 2 } <-2$$
I have to prove it but it seems like the question is wrong.
A simple theorem is a mathematical statement that has been proven to be true using logical reasoning and previously established principles or theorems.
The homework statement provides context for the theorem and specifies the problem that needs to be solved. This helps the reader understand the relevance of the theorem and how it is applied.
Equations are used to represent the relationships between different mathematical quantities in a concise and precise manner. In a proof, equations are essential in showing the logical steps and reasoning used to arrive at a solution.
The attempt at solution should include the steps and thought process used to solve the problem, including any relevant equations, assumptions, or strategies. This section helps the reader understand the logic behind the solution and identify any errors.
Practicing regularly, familiarizing yourself with basic mathematical principles and theorems, and seeking feedback from others can all help improve your skills in proving simple theorems. It's also important to carefully read and understand the given statement and try to approach the problem from different angles.