George tells you that when variables are in the denominator the equation 4/5 + 3 / x= 1 / 2 becomes unsolvable. george explains there is a value for x that makes the denominator zero and you can't divide by zero. demonstrate to george how the equation is still solvable explain your reasoning.

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?