Question

if x and y are real numbers such that 0<x<y^2, then which of the following inequalities must be true?

A. x<y
B. y>0
C. 3x>y^3
D. x<1
E. x>3y^2

Answer 1

A: No, if y<0
B: No, same as A
C: No, consider (1,3)
D: No, same as C
E: No. Clearly if x < y^2, 3x<3y^2

None of the above