Q : For each of the following cases, either explain why the case cannot occur or give an example to show how it can.

b. Two negative numbers whose product is in between the two numbers

c. Two negative numbers whose product is less than both numbers

Respuesta :

b. Any two negative numbers when multiplying gives positive answers which are never between negative numbers. -9*-3=27

c. same logic, positive answer so never less than either negative number.

The product of two negative numbers will always results in positive number. The product of positive and negative number will always results in negative numbers. Both the cases can not occurred and it is explained in brief below.

Part (a):

Two negative numbers whose product is in between the two numbers

The product of two negative numbers will always results in positive number. We know positive numbers are always greater than the negative numbers. Thus, it is impossible to happen that the result of multiplication lie between two numbers.

Part (b)

Two negative numbers whose product is less than both numbers

The product of two negative numbers will always results in positive number. We know positive numbers are always greater than the negative numbers. Thus, it is impossible to happen that the result of multiplication will be less than both the numbers.

To know more about it, please refer to the link:

https://brainly.com/question/13796273