Answer:
- <em>Cardinality of B ≤ cardinality of A</em>
Explanation:
The <em>domain</em> is the set of input elements of the function.
The <em>codomain</em> is the set of output elements of the function.
<em>Cardinality</em> is the number of elements of a set.
As per the definition of function one input cannot have more than one output. Thus, every element of the domain is related to one element of the codomain and no more.
An <em>onto function</em>, also knwon as surjection, is one in which any element of the codomain is related with at least one element of the domain. But it could happen that the same element of the domain is related with several elements of the domain. Hence, the number of elements in the codomain may be less than or equal to the number of elements of the domain, but never greater.
<h2>Conclusion:</h2>
The cardinality of B is less than or equal to the cardinality of A. Using the symbol # for cardinality that is: #B ≤ #A.
Answer:
The diferent types of professions are:
teacher
doctor
Accountant
Engineer
Lawyer etc.
Answer:He allowed them to continue practicing their religion
Explanation:
he was also expected to treat Catholics better than Elizabeth. Some Catholics even believed that he might stop their persecution, and allow them to worship freely.