Question

Which statement is false?

A. Negative numbers are always less than positive numbers.
B. The sum of two negative numbers is always negative.
O C. The difference between two negative numbers is sometimes positive.
D. The product of two negative numbers is always negative.
E. The quotient of two negative numbers is always positive.

Answer 1

So, the option (D) is the answer.

Explanation:

A. The negative numbers are always less than positive numbers.

It is true.

For example, - 2 < + 2

B. The sum of two negative numbers is always negative.

It is true.

For example, - 3 + (- 3) = - 6

C. The difference between two negative numbers is sometimes positive.

It is true.

For example, (- 3) - (-4) = 1

D. The product of two negative numbers is always negative.

It is false.

For example, (-3)(-3) = 9

E. The quotient of two negative numbers is always positive.

It is true.

For example, (-3)/(-1) = 3