A community for students.
Here's the question you clicked on:
 0 viewing
tux
 2 years ago
Prove: A\(B∪C)=(A\B)∩(A\C)
tux
 2 years ago
Prove: A\(B∪C)=(A\B)∩(A\C)

This Question is Closed

abayomi12
 2 years ago
Best ResponseYou've already chosen the best response.0Indirect proof means assume the opposite and find a contradiction. If a + c > b + c then a > b

abayomi12
 2 years ago
Best ResponseYou've already chosen the best response.0assume that a < b Then there exists a positive number such that a+X = b Now, plug this value into the first part... a + c > (a+X) + c So (a + c) > (a + c) + X So, a number PLUS a positive number is less than the number itself? This is a contradiction. So it is not the case that a < b Part 2: assume a = b a + c > a + c No number (a+c) can be greater than itself, so this is a contradiction. So, it is not the case that a = b So, a is not <= b So a > b By the way, it doesn't matter if a, b or c = 0, the simply can't equal each other.

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0why these answers get more and more random as the day goes on

helder_edwin
 2 years ago
Best ResponseYou've already chosen the best response.1\[ \large A\setminus(B\cup C)=A\cap(B\cup C)^c =A\cap(B^c\cap C^c) \] \[ \large A\cap A\cap B^c\cap C^c=(A\cap B^c)\cap(A\cap C^c)= \]
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.