Induction Inequality Proof Example 7: 4^n ≥ 1+3n

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those students have no idea how lucky they are to have you as a teacher

RithyRos
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the best explanation of youtube! keep up the excellent work. 

samirgopeesingh
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You explain this so well. I'm currently taking a Real Analysis course and you explain this so much better than any professor I have had.

marcusjohnson
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Why didn't I see these earlier?!?! Makes so much more sense now!!! Thank you!

spikexyooj
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We need more teachers like this in the world.

benjaminlloyd
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I am better with inequality now thank to you Eddie. Your students are very lucky to have a teacher like you

jamesrofle
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Eddie i just watched like 10 videos on this subject and they all made it look so complicated! You just made my day as math is so rewarding when you finally get it! Thank you so so much man! Cheers from Brazil!

violonista
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Wow great job breaking down some complex problems! Keep up the great work

spencerkoss
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this and another of your videos saved my proof homework! thank you Mr Woo

Joel-crnx
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This is amazing, it helped me a lot because my teachers are terrible and they didn't teach me how to solve the problem, thank you so much !! (I'm from Argentina)

agabrielc
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Hello professor Woo. My question is, why is step 3 (Assume n = k + 1) not 4^(k + 1) = 1 + 3k + 3 (k + 1)? Excellent videos! Thanks!

alfredosalgado
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amazing video, I love your explanations

cristianandrei
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Eddie you are really good at what you do. Keep it up!

tomiadewusi
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is there a way to do this without working on both sides of the inequality?

shannonheinig
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Please help me with this 1+3n<n^2 for all positive integers and n>=4

Scoomi_gh
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why ? why? cant I have a teacher like u! :(  people like u sir make education worth it

elizahreeko
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Great job..! one of the best xpalination..Eddie...one question plz..
I will be very much obliged if you do this for me..
Prove by mathematical induction

sayambandyopadhyay
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THANK YOU! THAT WILL REALLY HELP FOR MY PRECAL EXAM TOMORROW!

sarahkamal
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Hi Eddie I have a question regarding the last part of the proof. There you said 4+12k>=3k+4. Is it correct if I plug in k=1 to proof that statement? i.e 16>7?

nxrgtnz
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Did he use strong mathematical induction?

cindycabello