The true statement "fx 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 andy is a whole number, then the sum of x and y must be a
rational number.
If x is an even integer and y is an odd integer, then the sum of x and y must
be a rational number
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.