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Slide 2 Subset A set contained within another set is called a SUBSET! Set Subset Slide 3 The Real Number System The Real Number System is separated into two parts: Rational Numbers A subset of the Real Number System where numbers either: Terminate (end), Repeat or Can be written as a fraction Examples: 5.34, 45%, 0.131313..., 2/3, 9 Slide 4 The Real Number System Rational NumbersIrrational Numbers 5.34 45% 0.131313 9 0.101101110 Slide 5 The Real Number System Continued Integers: A subset of Rational Numbers that includes only positive and negative whole numbers. Examples: {-3, -2, -1, 0, 1, 2, 3, } Slide 6 The Real Number System Rational NumbersIrrational Numbers Integers 5.34 45% 0.131313 9 0.101101110 -212 -4 12 2 0 Slide 7 The Real Number System Continued Whole Numbers: A subset of Integers that includes only positive numbers and zero Examples: {0, 1, 2, 3, } Slide 8 The Real Number System Rational NumbersIrrational Numbers Integers Whole Numbers 5.34 45% 0.131313 9 0.101101110 -212 -4 12 2 0 Slide 9 The Real Number System Continued Natural Numbers (Counting Numbers): A subset of Whole Numbers that includes only the counting numbers starting at 1 Examples: {1, 2, 3, } Slide 10 The Real Number System Rational NumbersIrrational Numbers Integers Whole Numbers 5.34 45% 0.131313 Natural Numbers 9 0.101101110 -212 -4 12 2 0 Slide 11 Slide 12 Subset Set B is a subset of Set A. Every item in Set B is also part of Set A. Examples: A: Solar System B: Planets Every planet is in the solar system, but not everything in the solar system is a planet. Set A Set B Slide 13 Distinct Sets Sets A and B have no elements in common. Examples: A: WMS Teachers B: WMS Students There are no WMS Teachers who are WMS students and vice versa. Remember: We are talking about things in the sets, not characteristics of the sets. Set A Set B Slide 14 Which Venn Diagram matches? Set 1: TV Star Set 2: Movie Star. B. C.C. A.A. D.D. Slide 15 Which Venn Diagram matches? Set 1: Mammals Set 2: Reptiles. B. C.C. A.A. D.D. Slide 16 Which Venn Diagram matches? Set 1: Mammals Set 2: Bears. B. C.C. A.A. D.D. Slide 17 Which Venn Diagram matches? Set 1: Pop Set 2: Beverages. B. C.C. A.A. D.D. Slide 18 Which Venn Diagram matches? Set 1: Jazz Set 2: Music. B. C.C. A.A. D.D. Slide 19 Which Venn Diagram matches? Set 1: Bears Set 2: Mice. B. C.C. A.A. D.D. Slide 20 Which Venn Diagram matches? Set 1: Fish Set 2: Guppies. B. C.C. A.A. D.D. Slide 21 Which Venn Diagram matches? Set 1: Huskies Set 2: Dogs. B. C.C. A.A. D.D.