This week was full algebra biased!! 😄 This is my first time trying inequalities, so this pure beginners level. Do try all the problems first!! And if you guys get any nice solutions , do post in the comments section! These problem uses only Power mean Inequality and Titu's lemma . The First few problems happen to be not problems, but tricks(?) which are extensively used.. Here are the walkthroughs of this week's top 10 Inequality problems! 10th position: Prove that for any real a>0 , a+\frac{1}{a}\ge 2 Walkthrough: a. only AM-GM 9th position: Prove that for any real a>0 , \frac{a}{1+a^2}\le \frac {a}{2a}. Walkthrough: a. Only AM-GM b. Use AM-GM to show that 1+a^2\ge 2a 8th position: Prove that for any real x,y>0 ,\frac{1}{x+y}\le \frac{1}{4x}+\frac{1}{4y} Walkthrough: a. AM-HM inequality (cute 💖) 7th position : Prove that for any real positiv...
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