is the product of a rational number and an integer is not an

is the product of a rational number and an integer is not an integer true or false?

Solution

Every integer is a rational number, since each integer n can be written in the form n/1.

Product of a rational number and an integer depends on whether the rational number is integer or not.

If the rational number is an integer, then the product is integer. If the rational number is not an integer, the product is not an integer.