ATAR Notes: Forum

HSC Stuff => HSC Maths Stuff => HSC Subjects + Help => HSC Mathematics Extension 1 => Topic started by: aadharmg on November 01, 2017, 04:10:10 pm

Title: Inequalities by Induction
Post by: aadharmg on November 01, 2017, 04:10:10 pm

Let's say I have a question where I have to prove an inequality by induction but the actual inequality has terms on either side. Can I collect all terms on one side, prove that whole thing to be less than or greater than 0, and then after proving say that because this is true then the rearrangement, which would be the original inequality, is also true?

Title: Re: Inequalities by Induction
Post by: Zainbow on November 01, 2017, 04:18:12 pm

I'm pretty sure you can, don't quote me on it though

Title: Re: Inequalities by Induction
Post by: RuiAce on November 01, 2017, 04:42:10 pm

Yes. Proving LHS ≥ RHS is equivalent to proving LHS - RHS ≥ 0.