State whether the statements are true (T) or false (F).For an integer a, a3 is always greater than a2.

Given: integer aFor an integer (-1)(-1)2 = 1And (-1)3 = -1-1 < 1Here we see (-1)3 not greater than (-1)2Hence, the given statement is false.

Q67 of 142 Page 88

State whether the statements are true (T) or false (F).
For an integer a, a³ is always greater than a².

Given: integer a

For an integer (-1)

(-1)² = 1

And (-1)³ = -1

-1 < 1

Here we see (-1)³ not greater than (-1)²

Hence, the given statement is false.

State whether the statements are true (T) or false (F).

For every natural number m (2m-1, 2m²-2m,2m²-2m + 1) is a Pythagorean triplet.

State whether the statements are true (T) or false (F).

All numbers of a Pythagorean triplet are odd.

State whether the statements are true (T) or false (F).

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

State whether the statements are true (T) or false (F).

If x and y be natural numbers. If x divides y, then x³ divides y³.