Question

If $x<y$, then $x^2<y^2$ for all integer values of x and y. State true or false.

• A. 1-b, 2-d, 3-c, 4-a
• B. 1-b, 2-c, 3-d, 4-a

Answer 1

The correct option is B

1-b, 2-c, 3-d, 4-a

False. The statement is always true when x and y are whole numbers but need not be true for all integer values of x and y.

For example, $-5<3$
$(-5{)}^2=-5\times -5=25$ and $3^2=9$
So, $(-5{)}^2>3^2$