Which of the following must be true?

1. X^2 = Y^2 then X = Y

2. X > Y then X^3 > Y^3

3. X > Y then CX > CY

"Outsmarting the Competition" - The Washington Post, 2001. (Hundreds of students accepted to TJ since 1994)

TJ test prep practice problems for our students and readers. The problems provide a very small sampling of what Optimal TJ Prep students work with.

Which of the following must be true?

1. X^2 = Y^2 then X = Y

2. X > Y then X^3 > Y^3

3. X > Y then CX > CY