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Sets of Real Numbers The language of set notation

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Given A = { -6, -4, -2, 0, 2, 4 } Given B = {-3, -2, -1, 0, 1, 2, 3} Name an element of B -3 B -1 B 6 B C is a subset of A ( C A ) – Name a possible set C C = C = Is the set { 1, 2, 4 } of A?

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A “Union” B Given A = { -6, -4, -2, 0, 2, 4 } Given B = {-3, -2, -1, 0, 1, 2, 3} {-6, -4, -3, -2, -1, 0, 1, 2, 3, 4 } is the set made of all elements which are in A or B

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A intersection B Given A = { -6, -4, -2, 0, 2, 4 } Given B = {-3, -2, -1, 0, 1, 2, 3} {0, 2} is the set made up of all elements which are in both A and B.

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Summarize With your partner fill in the Frayer Diagrams with the vocabulary we have talked about so far.

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The Real Number System N Z Q R Q’

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The Real Number System Natural Numbers {0, 1, 2, 3……}

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The Real Number System Integers – Z {…-3, -2, -1, 0, 1, 2, 3…} Positive Integers – Z + {1, 2, 3, 4, ……}

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The Real Number System Rational Numbers – Q Q – { where p and q are integers and q ≠ 0 } Examples of rational numbers.3,, Why are repeating decimals rational? Example 4 pg 21

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The Real Number System Irrational Numbers – Q’ Numbers that cannot be written in the form where p and q are integers, q ≠ 0. Examples: e,,,

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The Real Number System R = {Real Numbers} All numbers that can be placed on a number line.

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True or False?

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Name the sets of numbers to which the following belong: -3 1.3 x 10 -4 1.2 x 10 2 55 Q’, R Z, Q, R N, Z, Q, R Q, R N, Z, Q, R

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Place the numbers on the appropriate place in the Venn Diagram 1.2 x 10 2 -3 1.3 x 10 -4 5 NZ Q Q’ R

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Chapter 2 The Basic Concepts of Set Theory © 2008 Pearson Addison-Wesley. All rights reserved.

Chapter 2 The Basic Concepts of Set Theory © 2008 Pearson Addison-Wesley. All rights reserved.

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