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

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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.

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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.
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

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

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