Set Theory And Logic Quiz

11 Questions | By Talanti | Last updated: Mar 22, 2022 | Total Attempts: 7182

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Quiz for math students

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1.

A set is:
- A.
  
  Collection of objects
- B.
  
  Well-defined collection of objects
- C.
  
  Elements of the set
- D.
  
  Descriprion
- E.
  
  Collection
2.

The symbol ∈ means:
- A.
  
  Is not an element of
- B.
  
  Is descriprion
- C.
  
  Is an element of
- D.
  
  Does not belong
3.

3 ∈{1,3,7}
- A.
  
  True
- B.
  
  False
4.

For larger sets:
- A.
  
  The description method is used and it is more convenient
- B.
  
  The description method is not used
- C.
  
  The description method is never used
5.

Z = {. . . ,−2,−1, 0, 1, 2, . . .} is the set of integers.
- A.
  
  True
- B.
  
  False
6.

N = {0, 1, 2, 3, . . .} is the set of integers.
- A.
  
  True
- B.
  
  False
7.

All elements of all the sets under discussion belong to some universal set or universe .
- A.
  
  True
- B.
  
  False
8.

The emty set is the set containing no elements .
- A.
  
  True
- B.
  
  False
9.

Let A and B be sets. A equals B,written A=B,iff every element of A is also an element of B,and conversely,every element of B is also an element of A.
- A.
  
  True
- B.
  
  False
10.

Theorem. There is only one empty set,ie. only two empty sets are equal.
- A.
  
  True
- B.
  
  False
11.

Let A and B be sets.Then A=B iff A belongs B
- A.
  
  True
- B.
  
  False

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