Clarence solved the equation 3x + 15 = 33 and showed the following work. did he do the work correctly?

3x + 15 = 33
3x + 15 - 15 = 33
3x = 33
=
x = 11

which of the following is true?
x is 11.
x should be 6.
x should be 16.
x should be 99.

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?