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^2
d. x<1
e. x<3y^2

Answer 1

Give yourself some values of x and y which make the original statement true.
e.g. x = 2, y = 3 , the 0 < 2 < 9 , <------ true
how about x = .4 , y = .7 , then 0 < .4 < .49 <----- true
how about x = 2, y = -3 , then 0 < 2 < (-3)^2 <----- true

which of the given statements is true for all cases ?

Can you think of any other combinations for x and y which make the original true?

Answer 2

Im confused