The product of two negative rational numbers is greater than either factor.is this statement true,somethimes true, or never true?

Answer :- This statement is true sometimes .

For example:-

Case1: Let -2 and -3 are two negative rational numbers such that  -2 × -3=6

and the factors of -2 are 1,-1,2,-2 and factors of -3 are -1,1,3,-3

As we can see the product of -2 and -3 is greater than their factors.

Then it follows the statement.

Case2: Let -6 and -1/6 are two negative rational numbers such that  -6 × -1/6=1

and the factors of -6 are 1,-1,2,-2,3,-3,6,-6

As we can see the product of -6 and -1/6 is smaller than 2,3,6 which are the factors of -6 .

But it contradicts the statement .

Therefore the product of two negative numbers is sometimes greater than either factor .

1

Step-by-step explanation:

Since this is a linear system, there can be 1, 0, or infinite solutions. In order to determine this, we need to solve this equation.

First, isolate the variables to one side:

0 = 97x -97

97x = 97

x = 1.

Thus there is one solution.

If we had gotten a statement such as 1 = 1, there would have been infinite.

If we had gotten a statement such as 1 = 0, there would have been no solution.