A manager of a baseball team looked over his roster at the beginning of spring training. He noticed the following facts: Every outfielder is a switch hitter. Half of all infielders are switch hitters. Half of all switch hitters are outfielders. There are 14 infielders and 8 outfielders. No infielder is an outfielder. How many switch hitters are neither outfielders nor infielders?

Which of the following statements is true? a. the irrational number system is not closed under multiplication, because the product of two irrational numbers is always a rational number. b. the irrational number system is not closed under multiplication, because the product of two irrational numbers is not always an irrational number. c. the irrational number system is closed under multiplication, because the product of two irrational numbers is always an irrational number. d. the irrational number system is closed under multiplication, because the product of two irrational numbers is always a rational numbers. reset submit