# Homework Help: Prove the following inequality

1. May 31, 2010

### evagelos

1. The problem statement, all variables and given/known data

prove the following inequality:

2. Relevant equations

$$\frac{a^4+b^4+c^4}{a^2b^2+a^2c^2+b^2c^2}\geq\frac{2u+3\lambda}{3(u+\lambda)}$$

for all the reals a,b,c different from zero and for all the natural u,λ

3. The attempt at a solution

induction i think in this case will make things worst

2. May 31, 2010

### tiny-tim

hi evagelos!

(try using the X2 tag just above the Reply box )

hint: subtract a constant from the lhs

3. May 31, 2010

### evagelos

Re: inequality

Sorry tiny-tim i don't get what you mean .What constant must i subtract from the l.h.s.

4. May 31, 2010

### tiny-tim

that's for you to find out!

5. May 31, 2010

### evagelos

Re: inequality

you cannot subtract a constant, only, from the left hand side because then you change the inequality

6. May 31, 2010

### tiny-tim

ok, then subtract it from both sides