Complete the proof of the following claim using the statements and justifications listed below. Some justifications will be used more than once, and 'c' should come before 'i'. The average of two real numbers lies between those numbers.

Using the previous proof and this proof, we can conclude that there is a rational number between every two distinct rational numbers. To use the correct vocabulary, we say that the rational numbers are "dense."

ine Statement Justification 2 4 6 ine Statement Justification 2 4 6