Question

Which statement is always true? A.) The absolute value of an integer is equal to the opposite of the integer B.) a positive integer is greater than a negative number C.) the absolute value of an integer is greater than zero D.) An integer is greater than its opposite

Answer 1

the absolute value of an integer is equation to the opposite of the integer

Answer 2

a positive integer is greater than a negative number

Explanation:

Let us consider each option one by one:

A.) Let us consider a counter example where the integer = 2

As per option A , abs(2) = -2

But this is incorrect. So option A is invalid.

B) Any positive integer is greater than 0

Any negative number is less than 0.

So, any positive integer is greater than a negative number.

C.) Let us consider an integer 0.

abs(0) = 0

But this is not greater than 0. So this option is not always valid.

D) Let us consider an integer -2.

Its opposite is 2.

But -2 < 2

So option D is invalid.