EXPLAIN FOR POINTS! In [a]-[c] P[m, n] means \"m n\", where the universe of disc

Question

EXPLAIN FOR POINTS!

In [a]-[c] P[m, n] means "m n", where the universe of discourse for m and n is the set of nonnegative integers. What is the truth value of the statement? nP(0,n). n mP(m,n). mnP(m,n). In [a]-[d] suppose the variable x represents students and y represents courses, and: U(y) is an upper-level course M(y): y is a math course F(x): x is a freshman B(x): x is a full-time student T(x, y): student x is taking course y. Write the statement using these predicates and any needed quantifiers, Eric is taking MTH 281.(b) All students are freshmen. Every freshman is a full-time student. No math course is upper-level. Let P(m, n) be "n is greater than or equal to m" where the domain (universe of discourse) is the set of nonnegative integers. What are the truth values of: n mP [m,n] m nP [m,n] A stamp collector wants to include in her collection exactly one stamp from each country of Africa. If I(s) means that she has stamp s in her collection, F(s, c) means that stamp s was issued by country c, the domain for s is all stamps, and the domain for c is all countries of Africa, express the statement that her collection satisfies her requirement Do not use the ! Symbol.

Explanation / Answer

20)

a) for all nP(0,n)

true , because 0 will always be less than any value of n and n is less than any value of n and n is non-negative , so it is always true.

b) n and for all m P(m,n)

false, because taking n to be a constant and taking another values as m, here m can be such value that is more than n.

c) for all m and n P(m,n)

false, taking m as any value will not make this (m<=n)

21)

a) for all x for all y [T(ERIC, MTH281)]

b) for all x B(x) => for all F(x)

c) for all x F(x) => for all y B(y)

d) ~(for all y) M(y) => for all y U(y)

22)

a) false, because may be for some n , n can be less than any value of m taken.

b) similarly , this is also false , because may be for some m, m can be less than any value of n taken.

23)

there exist some s l(s)=> F(s,c)

this will satisfy the requirement because there will exist some stamp s which when true , will correespond to some country.

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