A community for students.
Here's the question you clicked on:
 0 viewing
lgbasallote
 2 years ago
Given:
\[A = \{x: 1 \le x \le 5\}\]
why is \[A' = \{x : x < 1 \vee x > 5\}\]
and not \[A' = \{x: x< 1 \wedge x > 5\}\]
lgbasallote
 2 years ago
Given: \[A = \{x: 1 \le x \le 5\}\] why is \[A' = \{x : x < 1 \vee x > 5\}\] and not \[A' = \{x: x< 1 \wedge x > 5\}\]

This Question is Closed

LolWolf
 2 years ago
Best ResponseYou've already chosen the best response.2Since \(x\) cannot be both less than one and greater than five at one time (otherwise we have a logical contradiction). Also, De Morgan's laws are useful for this.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0so does that mean \[A = \{x : x \ge 1 \wedge x \le 5\}\]

LolWolf
 2 years ago
Best ResponseYou've already chosen the best response.2In any case: \[ A=\{x1\leq x\leq 5\}=\{x1\leq x \wedge x\leq 5\} \]

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i can't believe i didn't think of that first reason....

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Unless your x's can quantum tunnel . . .

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0uhoh....math conversation.....time to leave..

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0(Sorry, I've been hanging out in the Physics section too long)

LolWolf
 2 years ago
Best ResponseYou've already chosen the best response.2Go go, quantum entanglement and random transmission of data!

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.0Strange things can happen in this here multiverse.
Ask your own question
Sign UpFind more explanations on OpenStudy
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.