Question 2
2. Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n”, the number of nights can she afford to rent the beach house?

a. n ≤ 6

b. n ≥ 6

c. n < 5

d. n > 5

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?