Chapter 1 SSC 105

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Chapter 1 SSC 105

• Review of Basic Algebraic Concepts

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1.1 SSC 105

• Sets of Numbers and Interval Notation

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Set of Real Numbers
Set a collection of elements For example
represents the vowels in the English alphabet.
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Set-Builder Notation

• You can use set-builder notation to express a set
  like

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You try

• Describe the following set using set builder
  notation
• January, June, July

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Real Numbers

• Real Number Line

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Subsets (part) of Real Numbers

• Natural Numbers 1, 2, 3,
• Whole Numbers 0, 1, 2, 3,
• Integers , -2, -1, 0, 1, 2,

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Subsets of Real Numbers

• Rational Numbers
• All the numbers that can be defined as a ratio of
  two integers.
• Also, any rational number can be represented by a
  terminating decimal or by a repeating decimal.

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Subsets of Real Numbers

• Irrational Numbers
• A real number that is not rational
• Cannot be written as a terminating decimal or as
  a repeating decimal.

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A picture is worth
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Expressing Sets using Interval Notation
Graph the set on the number line, and express the
set in interval notation.
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Other examples
Graph the set on the number line, and express the
set in interval notation.
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Check it out

• Look at Table 1-2 on page 8.

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Union and Intersection of Sets
The Union of sets A and B, denoted by
is the set of elements that belong to set A
or to Set B or to both sets A and B. The
intersection of two sets A and B
is the set of elements common to both A and B.
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Given
FIND
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Given
Graph the following and express in interval
notation.
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Translating Inequalities