What is the sign of the product (−4)(6)(9)(3)?

positive, because the products (−4)(6) and (9)(3) are negative and the product of two negative numbers is positive

positive, because the products (−4)(6) and (9)(3) are positive and the product of two positive numbers is positive

negative, because the product (−4)(6) is negative and the product (9)(3) is positive, and the product of a negative number and a positive number is negative

negative, because the product (−4)(6) is negative and the product (9)(3) is negative, and the product of two negative numbers is a negative number

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?