PLEASE HELP THANK YOU SO MUCH Consider the statement. The sum of two irrational numbers is always an irrational number.
Is the statement true or false? Justify your answer.
true; Irrational numbers are closed under addition: + 27 = 37.
false; Only division results in irrational numbers. All other operations on real numbers give rational numbers.
true; The sum of two irrational numbers is a rational number, which is also an irrational number since all rational numbers are also irrational
numbers.
false; Irrational numbers are not closed under addition: V14 + (-14) = 0.

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?