If the value of "a" lies between −5 and 2 and the value of "b" lies between −7 and 1, what are the possible values for the product a· b?

(a) between 2 and 35 (b) between −35 and 5 (c) between −14 and 2
(d) between −14 and 35 (e) between −12 and 3

The possible values for the product are between -14 and 35. (Choice: D)

In this question we must determine the bounds associated with the following operation:

, for all (1)

In this case, we must determine the lowest negative number (lower bound) and the highest positive number (higher bound), based on the following two properties from algebra:

(2)

(3)

Now we proceed to determine the limits:

Lower bound

Upper bound

The possible values for the product are between -14 and 35.

We kindly invite to see this question on algebra: link

D. between -14 and 35

Step-by-step explanation:

Given:

Find: possible values for the product

Find all products of endpoints:

Here, the greatest product is 35 and the smallest product is -14, thus

m a t h w a y. c o m

step-by-step explanation:

s

step-by-step explanation: