2 Translating English Sentences into Formulas Consider the following two predicates: S(x) : x is a student in CSE015; M(x) : x plays a musical instrument. Let the domain be the set of all people. Using the above predicates, translate the following sentences into formulas using the appropriate quantifiers and operators. a) Not every student in CSE015 plays a musical instrument. b) A person is either a student in CSE015 or plays a musical instrument, but not both. c) There exists at least one student in CSE015 who does not play a musical instrument.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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```markdown
## 2 Translating English Sentences into Formulas

Consider the following two predicates:
- \( S(x) \): \( x \) is a student in CSE015;
- \( M(x) \): \( x \) plays a musical instrument.

Let the domain be the set of all people. Using the above predicates, translate the following sentences into formulas using the appropriate quantifiers and operators.

a) Not every student in CSE015 plays a musical instrument.

b) A person is either a student in CSE015 or plays a musical instrument, but not both.

c) There exists at least one student in CSE015 who does not play a musical instrument.
```
Transcribed Image Text:```markdown ## 2 Translating English Sentences into Formulas Consider the following two predicates: - \( S(x) \): \( x \) is a student in CSE015; - \( M(x) \): \( x \) plays a musical instrument. Let the domain be the set of all people. Using the above predicates, translate the following sentences into formulas using the appropriate quantifiers and operators. a) Not every student in CSE015 plays a musical instrument. b) A person is either a student in CSE015 or plays a musical instrument, but not both. c) There exists at least one student in CSE015 who does not play a musical instrument. ```
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