HomeworkLib
Question

Q3: Let p(x) be “ is perfect” Q(X) and be X “ is your friend” and...

Q3: Let p(x) be “ is perfect” Q(X) and be X “ is your friend” and domain be all people. Translate each of these statements into logical expression using predicates, quantifiers, and logical connectives

[2Marks, CLO2.1]

(a) All your friends are perfect. ->

(b) Not everyone is perfect. ->

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

SOLUTION:

0 0
Add a comment
Know the answer?
Add Answer to:
Q3: Let p(x) be “ is perfect” Q(X) and be X “ is your friend” and...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Let B(x), W(x), and S(x) be the predicates B(x): x is a female W(x): x is...

    Let B(x), W(x), and S(x) be the predicates B(x): x is a female W(x): x is a good athlete S(x): x is young Express each of the following English sentences in terms of B(x), W(x), S(x), quantifiers, and logical connectives. Assume the domain is the set of all people. a) All good athletes are not young. b) A person is a good athlete only if it is the case that both she is a female and she is young. c)...

  • true and false propositions with quantifiers. Answer the following questions in the space provided below. 1....

    true and false propositions with quantifiers. Answer the following questions in the space provided below. 1. For each proposition below, first determine its truth value, then negate the proposition and simplify (using De Morgan's laws) to eliminate all – symbols. All variables are from the domain of integers. (a) 3.0, x2 <. (b) Vr, ((x2 = 0) + (0 = 0)). (c) 3. Vy (2 > 0) (y >0 <y)). 2. Consider the predicates defined below. Take the domain to...

  • Answer the following questions in the space provided below. 1. For each proposition below, first determine...

    Answer the following questions in the space provided below. 1. For each proposition below, first determine its truth value, then negate the proposition and simplify (using DeMorgan's laws) to eliminate all – symbols. All variables are from the domain of integers. (a) 3x, 22 <2. (b) Vx, ((:22 = 0) + (x = 0)). (e) 3xWy((x > 0) (y > 0 + x Sy)). 2. Consider the predicates defined below. Take the domain to be the positive integers. P(x): x...

  • Predicates P and Q are defined below. The domain of discourse is the set of all...

    Predicates P and Q are defined below. The domain of discourse is the set of all positive integers. P(x): x is prime Q(x): x is a perfect square (i.e., x = y2, for some integer y) Find whether each logical expression is a proposition. If the expression is a proposition, then determine its truth value. 1) ∃x Q(x) 2) ∀x Q(x) ∧ ¬P(x) 3) ∀x Q(x) ∨ P(3)

  • Predicates P and Q are defined below. The domain of discourse is the set of all...

    Predicates P and Q are defined below. The domain of discourse is the set of all positive integers. P(x): x is prime Q(x): x is a perfect square (i.e., x = y2, for some integer y) Indicate whether each logical expression is a proposition. If the expression is a proposition, then give its truth value. (c) ∀x Q(x) ∨ P(3) (d) ∃x (Q(x) ∧ P(x)) (e) ∀x (¬Q(x) ∨ P(x))

  • 1. Write each of the statements using variables and quantifiers: a) Some integers are perfect squ...

    1. Write each of the statements using variables and quantifiers: a) Some integers are perfect squares. b) Every rational number is a real number. 2. Let P(x) = "x has shoes", Q(x) = "x has a shirt", and R(x,y) = "x is served by y". The universe of x is people. Rewrite the following predicates in words: a) ∀x∃y [(¬P(x) ∧ Q(x)) ⇒ ¬R(x,y)] b) ∃x∃y [(¬P(x) ∧ Q(x)) ∧ R(x,y)] c) P("Bill" ) ∨ (Q("Jim") ∧ ¬Q("Bill")) ⇒ R("Bill","Jim")

  • Let P(x) = “x is blue.” Let Q(x) = “x is a kangaroo.” Let R(x) =...

    Let P(x) = “x is blue.” Let Q(x) = “x is a kangaroo.” Let R(x) = “x can leap tall buildings in a single bound.” Let S(x) = “x wears a cape.” Suppose that the domain consists of all animals. a. Express each of the following statements using quantifies, logical connectives, and the functions defined above. i. No kangaroos are blue. ii. Some kangaroos wear capes. iii. All animals that wear capes can leap tall buildings in a single bound....

  • Let the following predicates be given. Assume the domain for x consists of all the tools....

    Let the following predicates be given. Assume the domain for x consists of all the tools. F(x) = x is used frequently C(x) = x is in the correct place E(x) = x is in excellent condition Express each of the following English sentences in terms of F(x), C(x), E(x), quantifiers, and logical connectives. 1. There is a tool that is used frequently and is in excellent condition. 2. Some tools are neither in the correct places nor are used...

  • please do A-C thank you 4. Let the universe of discourse, U, be the set of...

    please do A-C thank you 4. Let the universe of discourse, U, be the set of all people, and let M(x,y) be "x is the mother of y." Which of the following is a true statement? Translate it into English. a. (Ex)u((Vy)u(M(x, y))) b. (Vy)u((Ex)u(M(x, y))) C. Translate the following statement into logical notation using quantifiers and the proposition M(x, y) : "Everyone has a maternal grandmother."

  • 9. Prove that the following kogical expressions aro logically equivalent by applying the law of logic...

    9. Prove that the following kogical expressions aro logically equivalent by applying the law of logic 10. Give a logical expression with variables p, q, and r that's true only if p and q are false and r is true. 11. Predicates P and Q are defined below. The domain of discourse is the set of all positive integers. P(x): x is prime Qlx): x is a perfect square Are the following logical expressions propositions? If the answer is yes,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT