If B={a,b,c,d}, then a, b, and c & are elements of set B, or a∈ B, b∈ B, c∈ B, and d∈ B, then ∈ (element symbol) is used. As you can see in (d), stating that B∈ b is incorrect because it implies that set B is an element of b, which is not true.
We can say that every element of A is in B or that A⊆B since the subset symbol ⊆ is used for two sets, such as if A{1,2,3} and C{1,2,3,4}. However, in our example, b is an element of B rather than a subset.
b
If B={a,b,c,d}, then a, b, and c & are elements of set B, or a∈ B, b∈ B, c∈ B, and d∈ B, then ∈ (element symbol) is used. As you can see in (d), stating that B∈ b is incorrect because it implies that set B is an element of b, which is not true.
We can say that every element of A is in B or that A⊆B since the subset symbol ⊆ is used for two sets, such as if A{1,2,3} and C{1,2,3,4}. However, in our example, b is an element of B rather than a subset.
b