Instead of solving the inequalities, I tried taking some sample values
1. x^2 + y^2 > z^2
If x^2 = 4 , y^2 = 9 and z^2 = 10 then
X^4 + Y^4 > Z^4
But if x^2 = 0.81 , y^2 = 0.81 and z^2 = 1.60 then
X^4 + Y^4 < Z^4
Statement 1 is not sufficient.
2. x+y > z
If x = 1 , y = -2 and z = -2 then
X^4 + Y^4 > Z^4
But If x = -1, y = -2 and z = -4 then
X^4 + Y^4 < Z^4
Statement 2 is not sufficient
I think the question can be answered by combining both the statements, because if both stmt 1 and stmt 2 are true then X^4 + Y^4 > Z^4 has to be true, otherwise either one of the statements will not hold. Don't have the patience to write the sample values i tried
Am I missing anything?
