Express the following sets, using the Rule Method or Set-Builder Notation. Write your answer on the space provided in each number A = {eagle, owl, falcon, dove, etc.} ______________________________________________________________ B = {Toyota, Honda, Mazda, Suzuki, etc.} __________________________________________________________ C = {2, 4, 6, 8, …} _____________________________________________________________________________ D = {1, 3, 5, 7, …} _____________________________________________________________________________ E = {8, 16, 24, 32, …} __________________________
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In set-builder notation, we write the representative element using a variable (usually x) followed by a line or colon, then the property.
1. A = { x / x is a bird}
2. B = { x / x is a brand of a car}
3. C = { x / x is an even natural number}
4. D = { x / x is an odd natural number}
5. E = { x / x is a multiple of 8, x∈N }
Step-by-step explanation:
1. Read as “Set A is the set of all x’s, such that x is a bird”
2. Read as “Set B is the set of all x’s, such that x is a brand of a car”
3. Read as “Set C is the set of all x’s, such that x is an even natural number”
4. Read as “Set D is the set of all x’s, such that x is an odd natural number”
5. Read as “Set E is the set of all x’s, such that x is a multiple of 8 and an element of natural numbers”
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