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:
This is an example of <u>deductive</u> reasoning.
Explanation:
There are two types of typical reasoning, deductive and inductive. In this case for Stuart, he likes deductive reasoning due to his affiliation for logical solutions. This increase in cognitive work means he very carefully analyzes and interprets problems thus he 'induces.' He requires an initial statement or something known for him to come to a valid conclusion. Deductive is usally based on theory and inductive on observations.
Capitalist economic system is an economic system where the factors of productions are privately owned.
<u>Explanation:</u>
The capitalist economic system is that economic system in which the resources and the factors of production are owned privately and are in the hands of private persons. The interference of the government in this form of economic system in minimum.
The major aim of this system is to maximize the profits and not to increase the welfare of the people of the country. It is also known as the free market economy where the producers want to increase their profit.
It was another of Thomas Jefferson's most important legacies when he bought it from France. Hope this helps