Find two sets of 6 numbers with average 60 satisfying, each of the conditions below: 1. 4 of the numbers are less than 60 and 2 of them greater than 60.
2. 4 of the numbers are greater than 60 and 2 of them less than 60.

1- 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.2- 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 the first question?