Which of the following groups listed below are subsets of the real numbers? irrational numbers integers whole numbers natural numbers rational numbers a. all of the groups listed are subsets of the real numbers. b. ii and iv only c. ii, iii, and iv only d. ii, iii, iv, and v only

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?

If chord ab is congruent to chord cd, then what must be true about ef and eg?

Mat bought a phone for $100. he has to pay $30 per mouth. if he has paid $640 in total, how many mouth has he had the phone?