A teacher selects 2 different numbers, "a" and "b", and states that a + b = 0. Which of the
following statements could be true about these
2 numbers?
a. Both numbers are positive
b. Both numbers are negative
C. One number is zero and the other is
positive
d. One number is positive and the other is
negative
Support your answer by giving an example!

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?