The new forums will be named Coin Return (based on the most recent vote)! You can check on the status and timeline of the transition to the new forums here.
The Guiding Principles and New Rules document is now in effect.
Mathematical Analysis Problem: Proving Stuff
KingAgamemnon
Registered User regular
Registered User regular
So, I need to understand how to prove an inequality. Here it is:
Prove that for REALS: a,b,c,d
a/b<(a+b)/(c+d)<c/d with b,d>0
I thought I would first prove it from right to left then left to right, but I spent like an hour algebraically manipulating the left side without getting anywhere that I could see. I don't need the whole proof, just a strong hint on how to prove something is less than something else. Or the whole proof if you really like.
In conclusion: I no good at proof. Help.
Prove that for REALS: a,b,c,d
a/b<(a+b)/(c+d)<c/d with b,d>0
I thought I would first prove it from right to left then left to right, but I spent like an hour algebraically manipulating the left side without getting anywhere that I could see. I don't need the whole proof, just a strong hint on how to prove something is less than something else. Or the whole proof if you really like.
In conclusion: I no good at proof. Help.
KingAgamemnon on
0
Posts
could work back to (a+c)/(b+d) < c/d
I suppose you could do the same thing with the other side of the equation, since this is basically two proofs (you essentially have an and statement).