R%201 - Section R.1 The Real-Number System The real numbers...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 1513 Sec R.1 1 Section R.1 The Real-Number System The real numbers are made up of several subsets or groups of numbers.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Math 1513 Sec R.1 2 Any real number can be represented as a point on a number line and conversely any point on a number line represents a real number. Often in mathematics we want to refer to a range of numbers from a beginning number to an ending number. For example, “the set of all the numbers between -1 and 4.” We have to be careful here. Implied in this statement is the fact that -1 and 4 are not included in the set. There are 3 ways to indicate a set of numbers like this 1. interval notation ( 1,4) 2. set notation { | 1 4} x x    3. number line graph Since the endpoints, -1 and 4, are not included in the set, this is called an open interval . We use parentheses and the strict inequality sign “<” to indicate this.
Background image of page 2
Math 1513 Sec R.1 3 If one of the endpoints is included in the set, it is called a half-open interval and we use a bracket and an
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

R%201 - Section R.1 The Real-Number System The real numbers...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online