Induction: Inequality Proofs

Proving inequalities with induction requires a good grasp of the 'flexible' nature of inequalities when compared to equations. Make sure that your logic is clear between lines! For more mathematical induction proofs with inequalities, try these: Inequality Proof Example 1, Σ(k = 1 to n) 1/k² ≤ 2 - 1/n: http://youtu.be/S2tkLx019QI Inequality Proof Example 2, n² ≥ n: http://youtu.be/BTnbWKTeonk Inequality Proof Example 3, 5^n + 9 lesser than 6^n: http://youtu.be/5iWlsp55N_s Inequality Proof Example 4, n! greater than n²: http://youtu.be/5uFiA63Up9c Inequality Proof Example 5, 2^n ≥ n² http://youtu.be/cXNdy-HHqrA Inequality Proof Example 6, [2^(2n)]*(n!)^2 ≥ (2n)! http://youtu.be/6xdbKjZkjcg For videos on other kinds of mathematical induction, see my playlist on this topic: http://www.youtube.com/playlist?list=PL5KkMZvBpo5Bf6wS0saU1yNvDxBWN5o9j I'm Mr. Woo and my channel is all about learning - I love doing it, and I love helping others to do it too. I guess that's why I became a teacher! I hope you get something out of these videos - I upload almost every weekday, so subscribe to find out when there's something new! For categorised playlists: http://www.misterwootube.com Main channel: http://youtube.com/misterwootube Discussion: http://facebook.com/misterwootube Worksheets and other resources: http://woo.jamesruse.nsw.edu.au