Problem 1. Which of the following propositions are true? (Select all that are.)

Question

Problem 1. Which of the following propositions are true? (Select all that are.)

(Q1) ?

A: 4 is prime

B: 3 is an odd integer

C: the Earth is closer to the Moon than to the Sun & (1)×(1) = 1

D: (1)×(1) = 1 | 1+1 = 2

Which of the following propositions are true? (Select all that are.)

(Q2) ?

A: 1+1 = 2 | 4 is prime

B: 1+1 = 1 | 3 is an even integer

C: (1)×(1) = 1 3 is an odd integer

D: 1+1 = 1 & 1+1 = 2

Which of the following propositions are true? (Select all that are.)

(Q3) ?

A: 3 is an even integer & (1)×(1) < 1

B: 3 is an even integer 1+1 = 2

C: 1+1 = 1 3 is an even integer

D: (1)×(1) = 1 4 is prime

Which of the following propositions are true? (Select all that are.)

(Q4) ?

A: 3 is an odd integer 1+1 = 1

B: (1)×(1) < 1 4 is prime

C: 1+1 = 1 3 is an odd integer

D: the Earth is closer to the Moon than to the Sun !(1+1 = 2)

Problem 2. Fill in the following truth table:

Problem 3. Fill in the following truth table:

Problem 4. What is the structure of the following argument?

If the Sun orbits the Earth, then the Moon is made of cheese; If the Moon is made of cheese, then Homer Simpson is an alien; If Homer Simpson is an alien, then 2+2 = 5; 2+2 = 4, not 5. Therefore, the Sun does not orbit the Earth. (Q13) ?

A: p q; p. Therefore, q.

B: (p | q) r; !r. Therefore, !p & !q.

C: p & q. Therefore, p | q.

D: p q; q r; r s; !s. Therefore, !p.

E: p q; q r; r s; p. Therefore, s.

F: p q; !p. Therefore, !q.

G: (p | q) r; r. Therefore, p | q.

H: p | q; !p. Therefore, q.

Is the argument logically valid? (Q14) ? A: no B: yes

Problem 5. Which of the following are valid logical arguments? (Select all that are.)

(Q15) ?

A: p q; p r; r. Therefore, q.

B: p | q; !q. Therefore, p.

C: p & q. Therefore, p.

D: p q; p r; r. Therefore, q.

Which of the following are valid logical arguments? (Select all that are.)

(Q16) ?

A: p q; !p. Therefore, !q.

B: (p & q) r; !r. Therefore, !p & !q.

C: p q; !q. Therefore, !p.

D: (p | q) r; p !q; r. Therefore, q.

Which of the following are valid logical arguments? (Select all that are.)

(Q17) ?

A: p q. Therefore, p q.

B: r (p | q); p !q; r. Therefore, (p & !q) | (q & !p).

C: p | q | r. Therefore, p | q.

D: p q; q. Therefore, p.

Which of the following are valid logical arguments? (Select all that are.)

(Q18) ?

A: (p & q) | r. Therefore, (p & r) | (q & r).

B: p q. Therefore, (p & q) | (!p & !q).

C: (p & q) | (!p & !q). Therefore, p q.

D: (p & q) r; !r. Therefore, !p | !q.

Truth Table p q p & ( !q | !p ) T T (Q5) ? A: T B: F T F (Q6) ? A: T B: F F T (Q7) ? A: T B: F F F (Q8) ? A: T B: F

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

Problem 1.

Q1 B, C, D are true and A is false as 4 is not prime.

Q2 Only C is true and rest are false.

Q3 All choices are false.

Q4 Only D is true

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.