0
$\begingroup$

Can somebody show these inequalities by induction:

  1. $2^n > 2n+1,$ where $ n \geqslant 3.$
  2. $ 2^{n-1}(x^n+y^n) > (x+y)^n,$ where $ x+y>0, x \neq y$ and $ n \geqslant 1.$

1 Answers 1