Respuesta :
Answer and Step-by-step explanation:
As quantifiers, we can settle:
x is a student
M(x) is a math major student
C(x) is a computer science major student
F(x) is a freshman student
S(x) is a sophomore student
J(x) is a junior student
N(x) is a senior student
∃ exists
∀ every
¬ negation
∧ and
∨ or
a) There is a student in the class who is a junior.
∃xJ(x) value: True. There are 4 juniors
b) Every student in the class is a computer science major.
∀xC(x) value: False. There are math students
c) There is a student in the class who is neither a mathematics major nor a junior.
∃x¬M(x)∨¬C(x) value: False. All students are math ou computer science majors
d) Every student in the class is either a sophomore or a computer science major.
∀xS(x)∨C(x) value: False. There are some students who are neither, for example mathematics majors who are juniors
e) There is a major such that there is a student*
∃M(x)C(x)x value: True. All majors have students.
*This one seems incomplete, but I answered the way it is writen.
The expression of the statement based on the quantifiers show that the truth value will be:
- True
- False
- True
- False
- False
What is a quantifier?
It should be noted that quantifies are the words or expressions that indicate the number of elements which a statement pertains to.
From the information, there is a student in the class who is a junior. It can also be deduced that not every student in the class is a computer science major. This is because there are mathematics majors too.
Furthermore, there is a student in the class who is neither a mathematics major not a junior but not every student in the class is either a sophomore or a computer science major.
Learn more about quantifiers on:
https://brainly.com/question/26421978
