10. Justify Reasoning Statistical measures are shown for the ages of middle
school and high school teachers in two states.
State A: Mean age of middle school teachers = 38, mean age of high
school teachers = 48, mean absolute deviation for both = 6
State B: Mean age of middle school teachers = 42, mean age of high
school teachers = 50, mean absolute deviation for both = 4
In which state is the difference in ages between members of the two
groups more significant? Support your answer.

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?