Brett has consumed 1,400 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 2,000 calories per day. How many calories does he have left to consume for the day? Is 1,200 a viable solution to this problem? I NEEED HELPP PLZZ :(
A Yes; 1,200 is less than 1,400.
B Yes; 1,200 is less than 2,000.
C No; 1,200 is more than the 400 he burned off at the gym.
D No; 1,200 will cause him to exceed 2,000.

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?