Question

If x and y are integers such that x² > y², then x³ > y³.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

Given: Integer x and y

For an integer x and y as (– 1) and (– 2) respectively.

x² > y² ⇒ (– 2)² > (– 1)² = 4 > 1 (true)

And x³ > y³ ⇒ (– 2)³ > (– 1)³ = – 8 > – 1 (not true)

As – 8 < – 1