The true statement "if x is a rational number and y is a rational number, then the sum of x and y is a rational number" is often confused with the converse "if the sum of x and y is a rational number, then x is a rational number and y is a rational number." in this case, the converse is not always true. which statement is false? a) if the sum of x and y is a rational number, then x must be a rational number. b) if x = 3.5 and y is a whole number, then the sum of x and y must be a rational number. eliminate c) if x is an even integer and y is an odd integer, then the sum of x and y must be a rational number. d) if the sum of x and y is a rational number, then x may be a rational number or x may be an irrational number.