A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

p: It snows tonight. q: I will stay home. Use negation (~), conjunction (˄), disjunction (˅), and/or implication (→) to construct a logical equivalence of p→q.

  • This Question is Open
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is converse, contrapositive and inverse, right?

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm not sure, to be honest.

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It's discrete math, if that helps at all.

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So... The converse is "If it snows tonight, I will stay home." The contrapositive is "If it doesn't snow tonight, then I won't stay home." The inverse is: "If I won't stay home tonight, then it won't snow."

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I think I have to make an equation that looks sort of like this: p v q or ~p v q. I'm not really clear on what is wanted in this problem and my book isn't much help.

  6. UsukiDoll
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Original Statement If P then Q Negation Statement If NOT P then NOT Q Converse Statement if Q then P Contrapositive Statement if NOT Q then NOT P

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Conditional: ~a -> ~b Converse: ~b -> ~a

  8. UsukiDoll
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    P ^ Q is P AND Q (both) P V Q is P OR Q (one or the other)

  9. UsukiDoll
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    I think my book uses different terms. I remember original statement negation is the negative version of the original statement converse is the reversed version of the original statement and contrapositive is the negative reversed version of the original statement.

  10. UsukiDoll
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so we have to go to P -> Q P implies Q using some techniques from or and and statements... like a truth table.

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes like truth tables. I guess my question is not so much how to do this, but more of what the question is asking me to do. The terminology seems to be different in other places I look, so I guess that is why I was confused.

  12. UsukiDoll
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    P Q P - > Q T T T T F F F T T F F T that's the implies table

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you! That actually helped.

  14. UsukiDoll
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so if P is true Q is true... implies will give a True if P is true, Q is false implies will give a False if P is false Q is true implies will give a true if P is false Q is false implies give a true.

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you!

  16. UsukiDoll
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    you're welcome :)

  17. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.