Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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**Question 13.**

Let \( A = \{a, b, c, e, g, h, i, l, o\} \), \( B = \{b, c, d, f, i, i, k, l, n\} \), and \( C = \{c, d, e, h, i, k, l, m, o\} \).

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### (a) Draw a Venn diagram showing the relationship between sets, label each element.

*Explanation: The Venn diagram should include three circles intersecting, representing sets \( A \), \( B \), and \( C \). Each element from the sets should be placed in the appropriate region where the circles overlap.*

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### (b) What is

i. \( B \setminus (C \setminus A) \)

ii. (3 points) \( C \oplus B \)

iii. (3 points) \((A \cap B) \times (A \cap C)\)
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Transcribed Image Text:**Question 13.** Let \( A = \{a, b, c, e, g, h, i, l, o\} \), \( B = \{b, c, d, f, i, i, k, l, n\} \), and \( C = \{c, d, e, h, i, k, l, m, o\} \). --- ### (a) Draw a Venn diagram showing the relationship between sets, label each element. *Explanation: The Venn diagram should include three circles intersecting, representing sets \( A \), \( B \), and \( C \). Each element from the sets should be placed in the appropriate region where the circles overlap.* --- ### (b) What is i. \( B \setminus (C \setminus A) \) ii. (3 points) \( C \oplus B \) iii. (3 points) \((A \cap B) \times (A \cap C)\)
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