a) Explain what it means for two sets to be

Chapter 2, Problem 6RQ

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QUESTION:

a) Explain what it means for two sets to be equal.________________b) Describe as many of the ways as you can to show that two sets are equal.________________c) Show in at least two different ways that the sets. A ? (B?C) and (A ? B) ? (A ? C) arc equal.

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QUESTION:

a) Explain what it means for two sets to be equal.________________b) Describe as many of the ways as you can to show that two sets are equal.________________c) Show in at least two different ways that the sets. A ? (B?C) and (A ? B) ? (A ? C) arc equal.

ANSWER:

Solution:Step1a) we have to explain what it means for two sets to be equal.Two sets to be equal means both of sets having same number of elements.Therefore, sets C and D are equal if y[y C y D]. Expressed as C=D.ExampleIf C= {2, 4, 6, 8, 10}And, D = {10, 12, 18, 20, 22}Then, n(C)= n(D)= 5, this means sets C

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