KOO said:Write ⊆ or ⊄ in the space provided.
(3,5) _____ [3,5]
[-1,4] ____ (-1,4)
{∅} _____ P(∅)
N * Z ____ Z * NMy Solution)
⊆
⊄
⊄
⊆
Note that P(∅) = {∅}.KOO said:{∅} _____ P(∅)
Evgeny.Makarov said:Note that P(∅) = {∅}.
⊆ represents the subset symbol, which means that the set on the left is a subset of the set on the right. ⊄, on the other hand, represents the not subset symbol, indicating that the set on the left is not a subset of the set on the right.
These symbols can be used in mathematical expressions to show the relationship between two sets. For example, if we have set A = {1, 2, 3} and set B = {1, 2, 3, 4}, we can write A ⊆ B to indicate that all elements of set A are also elements of set B. Similarly, we can write A ⊄ B to show that set A is not a subset of set B.
Yes, there are other symbols that can be used to represent subsets, such as ⊂ and ⊊. These symbols have the same meaning as ⊆ and ⊄, but they are used to show proper subsets, where the sets are not equal.
The use of symbols such as ⊆ and ⊄ helps to make mathematical expressions more concise and easier to understand. It also allows for a more precise representation of the relationship between sets.
Yes, there are other symbols that are related to ⊆ and ⊄, such as ⊇ and ⊅. These symbols have the opposite meanings, where ⊇ represents the superset symbol and ⊅ represents the not superset symbol.