Is this statement true or false? Prove each true statement directly from the definitions and give a counterexample for each false statement.  The quotient of any two rational numbers is a rational number.

Consider the set of rational numbers under the operation of addition. What is the inverse of 9?

A parcel delivery service will deliver a package only if the height plus girth (distance around) does not exceed 114 cm. What are the dimensions of the largest cylindrical package that can be sent through the mail? The largest cylindrical package can have a radius of cm and a height of cm. (Type exact answers, using a as needed. Use integers or fractions for any numbers in the expressions.)

Write the following statement as a mathematical statement. Use variable names to denote arbitrary numbers in the domain. Your statements and should be expressed using algebra. "There is no largest integer."