Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
**Title: Set Theory Exercise: Listing Elements of Sets** **Instructions:** List the elements of the following sets. **a) M** - Description: The set of letters in the word "mathematics." - Note: There are not 11 elements in the set. **b) M - B** - Defined: M is as described above. - B = {a, e, i, o, u} - Operation: List elements in M that are not in B. **c) A ∪ B** - Defined: B is as above and A = {s, e, t} - Operation: Find the union of sets A and B. **d) (A - B) ⊂ C** - Description: For A and B defined above, determine if (A - B) is a subset of C. - C = The letters in the word "Sarina." **e) Aᶜ** - Description: The complement of set A when the universal set X = {a, b, c, d, ..., m}. **f) {x ∈ Reals | x² + 6x + 8 = 0}** - Description: List the real numbers x that satisfy the equation x² + 6x + 8 = 0.
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Transcribed Image Text:**Title: Set Theory Exercise: Listing Elements of Sets** **Instructions:** List the elements of the following sets. **a) M** - Description: The set of letters in the word "mathematics." - Note: There are not 11 elements in the set. **b) M - B** - Defined: M is as described above. - B = {a, e, i, o, u} - Operation: List elements in M that are not in B. **c) A ∪ B** - Defined: B is as above and A = {s, e, t} - Operation: Find the union of sets A and B. **d) (A - B) ⊂ C** - Description: For A and B defined above, determine if (A - B) is a subset of C. - C = The letters in the word "Sarina." **e) Aᶜ** - Description: The complement of set A when the universal set X = {a, b, c, d, ..., m}. **f) {x ∈ Reals | x² + 6x + 8 = 0}** - Description: List the real numbers x that satisfy the equation x² + 6x + 8 = 0.
Expert Solution
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Step 1

As per rule we will solve only first three subparts.

a)Given M is the set of lettes in the word 'mathematics'.The word mathematics has 8 distinct letters m,a,t,h,e,i,c,sSo         M={m,a,t,h,e,i,c,s}

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