If a < 0 and c > b, circle the expression that is greater:
a(b - c) or a(c - b)
use the properties of inequalities to explain your choice.

The expression that is greater is a (b - c)

Step-by-step explanation:

so for the product a(b - c) we would have a multiplication of a negative number a and another negative number (b - c). We know that the result of the multiplication of two negative numbers  is a positive number.

Therefore, a (b - c) > 0

so for a(c - b), we have the negative number a multiplied by the positive number (c - b). We know that the result of the multiplication of a negative number by a positive number is negative.

Therefore  a (c - b) < 0

Thus, the expression that is greater is the positive one which is a (b - c)

3; 9 is 8 to -4

step-by-step explanation: