Re: Proving an inequality

Quote:

Originally Posted by

**jezb5**

I think that you have completely missed the point.

This should be done using induction with base case of $\displaystyle n=3$.

Then assume it is true for $\displaystyle K>3$ and show that implies it is true for $\displaystyle K+1$.

3 Attachment(s)

Re: Proving an inequality

Quote:

Originally Posted by

**Plato** I think that you have completely missed the point.

This should be done using induction with base case of $\displaystyle n=3$.

Then assume it is true for $\displaystyle K>3$ and show that implies it is true for $\displaystyle K+1$.

I think I'm a bit lost as my book only explains that I re-arrange the inequality into an equivalent form and this final inequality is true.

As an example it says prove that

Attachment 27387 for Attachment 27388

it then says by rearranging this inequality into an equivalent form we get

Attachment 27389

and then this final inequality is true for Attachment 27388

Re: Proving an inequality

Quote:

Originally Posted by

**jezb5** I think I'm a bit lost as my book only explains that I re-arrange the inequality into an equivalent form and this final inequality is true.

As an example it says prove that

Attachment 27387 for

Attachment 27388
it then says by rearranging this inequality into an equivalent form we get

Attachment 27389
and then this final inequality is true for

Attachment 27388

Not being the author of your text, I have no idea what any of that means.

As I said before, this question is tailor maid for* proof by induction*.

Have you studied induction?