The discussion revolves around proving that multiplying a negative number through an inequality changes the inequality. The original poster presents an inequality involving two variables and a negative constant, seeking to understand the implications of this operation.
The discussion includes various attempts to clarify the problem and explore different approaches. Some participants express confusion and seek hints, while one participant indicates they have resolved their understanding, suggesting a productive direction has been reached.
There is an indication of difficulty with algebraic manipulations and a focus on definitions of inequality. The original poster and others express uncertainty about the next steps in their reasoning.
So make the substitution. How is < defined? Apply the definition both to this case, and to the case you're trying to solve, so that you can see what you need to prove.jaqueh said:i'm still stuck, all i can think of is making the d=-c which i define when c+(-c)=0
jaqueh said:I actually ended up figuring it out, thanks tho!