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In the next 3 videos we will work around some basic and famous inequalities related to Real numbers. In the first video we will proof that if product of two real numbers is greater than 0 then either they both are positive or they both are negative.
In the second video we will try understanding that why is the arithmetic mean always greater than the geometric mean. For example why is AM of 4 and 9 (4+9)/2 = 6.5 > the GM of 4 and 9 which is 6.
Finally we will learn about the Bernoulli’s inequality and we will also prove it using Induction.
if ab is greater than 0 then either both a and b are greater than 0 or both less than 0
Arithmatic mean
Bernoullies inequality
