An elderly woman purchases a table from a local furniture store for $5,000. She decides that she does not want the table because of a defect. The woman successfully cancels the payment on the credit card for payment of the table, and continues to keep the table despite the store requesting to pick the table up from woman. Based on these facts, what statement is true: a. she can keep the table because of the defect b. she cannot keep the table c. she is entitled to some money to compensate her for the unreasonable behavior of the store d. the contract has been concluded and it was unlawful for her to stop payment on the credit card e. she has committed a civil infraction

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?