MAT 0670 Chapter Notes -Mathematical Object

• School: CUNY-New York City College of Technology
• Department: Mathematics
• Course: MAT 0670

Document Summary

The real number line and intervals, section 1. 3. Real numbers are typically represented as points on a straight line. The origin is the place on the imaginary line that we have drawn that we have selected. We also choose which route is "left" and, consequently, which is "right. " Some people write the words "up" and "down" while drawing the number line vertically. To plot any real number x, one marks off a distance x from the origin, either up or down depending on whether x is greater than or less than zero. |x y| is the length of the number line between the two numbers x and y. The majority of the equations we write down in this course that involve variables x, y, etc. will hold true for certain values of x but not for others. A group of real numbers (or any other type of mathematical object) is referred to as a set in contemporary abstract mathematics.