previous exam: mathematical induction

On the previous exam memo, on the solution for the induction (question 3) they have the following for the inductive step:

= 2n + 24. All the steps leading up to this makes sense to me. Immediately after this (the final step), they have
>= (n + 1) + 12

the problem is that I dont see how one can transform 2n + 24 into (n + 1) + 12 so this doesnt seem valid to me. I hope I'm just missing something in which case, can some kind soul please point out what that is?

Jip, my maths also tells me that's not possible...

Hold on:

(n + 1) + 12 = n + 13 < 2n + 24 = 2(n + 12)

So, it's valid.

I guess somewhere else there's a "(n + 12)" for "n" and you now working with "(n + 1)"?

Ah, suddenly it all makes sense. I failed to realise that the last step was not meant to transform 2n + 24 into n+ 1+ 12 but rather a statement that 2n+24 >= n + 1 + 12

Thanks for the response, it helped