SOLUTION: Suppose x and y are positive real numbers. Use indirect proof to show that if x2 > y3 - 1 then x > y or y < 2.

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Question 1007464: Suppose x and y are positive real numbers. Use indirect proof to show that if x2 > y3 - 1 then
x > y or y < 2.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
consider the following two case
1) assume y > x, namely y = 4 and x = 3, then
3^2 > 4^3 - 1
9 > 63
this is false
2) assume y > 2, namely 3
3^2 > 3^3 - 1
9 > 26
this is false, therefore
if x^2 > y^3 -1 then x > y or y < 2