subject
Mathematics, 22.07.2021 08:50 bbygrill

Chứng minh rằng nếu $A \setminus B=A$ thì $A\cap B=\emptyset$. Giải: Giả sử $A\cap B\neq \emptyset \Rightarrow \exists x \in A \cap B$. Suy ra $x \in B \, ^{(1)}$ và $x \in A \, ^{(2)}$. Từ $(1)$ suy ra $x \notin A \setminus B$. Mà $A \setminus B=A$ nên $x \notin A$ (mâu thuẫn với (2)).
Phương pháp chứng minh nào đã được sử dụng?
Select one:
a. Gián tiếp
b. Trực tiếp
c. Tầm thường
d. Phản chứng

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 15:00
This week, conrad will work 1 3/4 times longer than last week. giovanni will work 1 1/3 times longer than last week. sally will work 2/3 the number of hours she worked last week. match each employee's name to the number of hours he or she will work this week
Answers: 1
question
Mathematics, 21.06.2019 18:30
The base of a triangle is 8 1 3 meters and the height of the triangle is the fourth root of 16 meters meters. what is the area of the triangle?
Answers: 3
question
Mathematics, 21.06.2019 19:30
Asurvey of 45 teens found that they spent an average of 25.6 hours per week in front of a screen (television, computer, tablet, phone, based on the survey’s sample mean, which value could be the population mean? 2.3 hours 27.4 hours 75.3 hours 41.5 hours
Answers: 1
question
Mathematics, 21.06.2019 20:00
For what type of equity loan are you lent a lump sum, which is to be paid within a certain period of time? a. a line of credit b. equity c. a second mortgage d. an amortization
Answers: 3
You know the right answer?
Chứng minh rằng nếu $A \setminus B=A$ thì $A\cap B=\emptyset$. Giải: Giả sử $A\cap B\neq \emptyset...
Questions
question
English, 15.02.2020 04:04
Questions on the website: 13722366