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Match the word to its definition or symbol.

1.
finite set
2. { }
subset
3.
infinite set
4. {whole numbers}
empty set
5.
null set
6. A set limited by definition
element
7.
not an element

1 Answer

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Here are the matches for the words to their definitions or symbols: 1. ∈ - element, 2. {} - empty set. 3. ⊂ - subset. 4. {whole numbers} - finite set. 5. ∅ - empty set. 6. A set limited by definition - finite set. 7. ∉ - not an element

1. Element (∈): This symbol (∈) denotes membership in a set.

2. Empty Set ({} or ∅): Represented by curly braces or the symbol ∅, it is a set with no elements.

3. Subset (⊂): The symbol ⊂ signifies that one set is entirely contained within another. If every element of set (B) is also an element of set (A), we write (B ⊂ A).

4. Finite Set (e.g., {whole numbers}): A set with a countable number of elements. The set of whole numbers is an example, denoted as {0, 1, 2, 3, ...}.

5. Empty Set (∅): Also known as the null set, it is a set with no elements. It is represented by the symbol ∅.

6. Finite Set (A set limited by definition): Any set with a finite number of elements, determined by a specific definition.

7. Not an Element (∉): This symbol (∉) indicates that a particular element is not a member of the given set.

In summary, these symbols and definitions are fundamental in set theory, helping describe relationships between elements and sets.

The complete question is:

Match the word to its definition or symbol.

1. ∈

2. {}

3. ⊂

4. {whole numbers}

5. ∅

6. A set limited by definition

7. ∉

empty set

subset

finite set

element

infinite set

null set

not an element

User Mcoolive
by
8.5k points

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