Given the following set, select the statement below that is true.
V = {a, e, i, o, u}
(Points : 2)
v ∈ V
a ∈ V
y ∈ V
o ∉ V
V Ø
v ∈ V : v is in the set V
a ∈ V : a is in the set V
y ∈ V : y is in the set V
o ∉ V : o is not in the set V
V = Ø : V has no members
Which statement do you think is true?
v �¸ V : v is in the set V
To determine which statement is true about the given set V = {a, e, i, o, u}, we need to understand the meaning of the symbols used.
Symbols used:
- "∈" represents the element of a set. For example, x ∈ A means x is an element of the set A.
- "∉" represents the not an element of a set. For example, x ∉ A means x is not an element of the set A.
- "Ø" (pronounced "empty set") represents the empty set, which has no elements.
Let's evaluate each statement:
1. v ∈ V: This statement implies that the lowercase letter "v" is an element of set V. However, in this case, "v" is not included in the set V, so this statement is FALSE.
2. a ∈ V: This statement implies that the lowercase letter "a" is an element of set V. The set V includes the element "a," so this statement is TRUE.
3. y ∈ V: This statement implies that the lowercase letter "y" is an element of set V. However, the set V does not include the element "y," so this statement is FALSE.
4. o ∉ V: This statement implies that the lowercase letter "o" is not an element of set V. However, the set V includes the element "o," so this statement is FALSE.
5. V Ø: This statement shows the intersection of the set V and the empty set ("/"), which results in the empty set again. So, this statement is TRUE.
Therefore, the statement "a ∈ V" is the only true statement.