Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises - Page 21: 67

There is no greatest integer on the real number line. There is no least fraction on the real number line.

The real number line has no bound in either direction. The real number line goes to negative infinity to the left and positive infinity to the right.Thus, (i) there is no greatest integer, and (ii) there is no least fraction on the real number line.