Respuesta :
You express that A is a subset of B with the following expression: [tex] A \subset B [/tex]
The meaning is that A is fully included inside B, which in turn means that every element of A is also an element of B, while the vice versa is not necessarily true.
For example, consider the sets
[tex] A = \{0,2,4,6,8,10\},\quad B=\{0,1,2,3,4,5,6,7,8,9,10\} [/tex]
So, B is the set of numbers from 0 to 10, and A is the (sub)set of all even numbers between 0 and 10.
So, A is a subset of B, because every element in A is also an element in B, but there are elements in B (all the odd numbers) that are not in A.
Set A is a subset of set B, expressed as A⊆B, which means that every element in set A is also an element in set B.
Given that
Set a is a subset of set b, expressed as _______, means that _______
According to the question
A set A is said to be a subset of set B if the elements of set A belong to set B, or you can say each element of set A is present in set B.
A subset of a set is denoted by the symbol (⊂) and written as S ⊂ T.
We can also write the subset notation as;
A ⊂ B if C ∊ B ⇒ C ∊ A
According to the equation given above, “A is a subset of B only if “C” is an element of A as well as an element of B.
” Each set is a subset of its own set, and avoid set or empty set is a subset of all sets.
A set is well defined as the collection of data that does not carry from person to person.
Hence, Set A is a subset of set B, expressed as A⊆B, which means that every element in set A is also an element in set B.
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