Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
windsylph
Group Title
Logic/Discrete Math: Let x be a tool, and P(x) be the statement "an x is in excellent condition". How do you express "No tool is in excellent condition" using quantifiers, logical connectives, x, and P(x)? Should the negation sign be before the quantifier or the predicate?
*update: new question on the last comment
 2 years ago
 2 years ago
windsylph Group Title
Logic/Discrete Math: Let x be a tool, and P(x) be the statement "an x is in excellent condition". How do you express "No tool is in excellent condition" using quantifiers, logical connectives, x, and P(x)? Should the negation sign be before the quantifier or the predicate? *update: new question on the last comment
 2 years ago
 2 years ago

This Question is Closed

anonymoustwo44 Group TitleBest ResponseYou've already chosen the best response.1
It will be: dw:1339138738460:dw For all x tools, the negotion of P(x) will be true. which will then mean no tool will be in excellent condition since we've stated that for all x, negotion of p(x) is true. hence whatever tool that may be, p(x) is false.
 2 years ago

blockcolder Group TitleBest ResponseYou've already chosen the best response.0
Another way is this: \[\neg \exists x (P(x))\] Essentially, our answers are equivalent by De Morgan's Law for Quantifiers.
 2 years ago

anonymoustwo44 Group TitleBest ResponseYou've already chosen the best response.1
negotion of p(x) is "x is not in excellent condition". now all we have to state is that for any tool x, it will not be in good condition so that no x is in excellent condition which will lead us to the statement "For all x, x is not in excellent condition" which will give us the answer: \[\forall x,negotion of P(x)\]
 2 years ago

windsylph Group TitleBest ResponseYou've already chosen the best response.0
Thanks, all. How about this: Let x be a student, y, be a television show, and Q(x,y) be the statement "a student has been in a television show." How do you express "No student has ever been on a television show"?
 2 years ago

anonymoustwo44 Group TitleBest ResponseYou've already chosen the best response.1
negotion of Q(x,y) will be "a student has not been in a television show". now to show that no student has ever been on a television show, we are to state that for all students and for any tv show, no student has ever been on a television show, which is: dw:1339141822205:dw
 2 years ago

windsylph Group TitleBest ResponseYou've already chosen the best response.0
Thank you very much!
 2 years ago
See more questions >>>
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
 Engagement 19 Mad Hatter
 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.