1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi [55]
3 years ago
8

Assume that the domain A and codomain B for function f are both finite sets and that f is an onto function. What is the necessar

y relationship between the cardinality of A and the cardinality of B? Explain.
Social Studies
1 answer:
kap26 [50]3 years ago
3 0

Answer:

  • <em>Cardinality of B ≤ cardinality of A</em>
  • <em># B ≤ # 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.

You might be interested in
To quickly recall information, Freud maintained that we use the __________ level of consciousness.
charle [14.2K]

Answer:B. Preconscious

Explanation:

8 0
3 years ago
Read 2 more answers
Which weakness of the articles of confederation did the delegates to the constitutional convention want to address?
astra-53 [7]

The delegates to the constitutional convention converged in Philadelphia to address the weakness of the articles of confederation which gives more power to the state at the expense of the Federal government. Therefore, the correct answer is D

<h2>Further Explanation</h2>

The federal government was weak under the articles of the federation, although the articles of confederation only provided for the continental congress at the federal level with the power to make laws but lacked the power to enforce the laws. The federal was so weak to the extent that a state can decide to ignore federal laws if it so desires.  

Under the articles of confederation, the federal government lacked the power to collect or regulate tax; there was no executive or the judiciary branch, so it became so difficult for the federal government to function effectively.  

All these weaknesses strangulates the federal government and a constitutional convention was held to addresses the problems of the articles of confederation.

At the constitutional convention, a new constitution was drafted and grants more powers to the federal government. The New constitution allows checks and balances by dividing the federal government into three branches which include Executive, legislative and judiciary.

The newly drafted constitution was ratified in 1789 and replaced the articles of confederation.

LEARN MORE:

  • What weakness did delegate at the constitutional convention see in the articles of confederation  brainly.com/question/13372941
  • What weakness did delegates at the constitutional convention see in the Articles of Confederation?  brainly.com/question/11134251

KEYWORDS:

  • federal government
  • articles of confederation
  • state governments
  • constitutional convention
  • delegates
3 0
3 years ago
Read 2 more answers
What important lessons do you think that we should learn from the Jackson Presidency
Soloha48 [4]

Answer:

Read the Explanation.

Explanation:

He supported Populism and liberalism, although it was mainly for white Americans. He also expanded the country and gave the US more land.

However, he expelled Native Americans from their native land, some examples are the Cherokee, Seminole, etc. He also supported slavery, although he was generally more moderate and was not exactly "Pro-Slavery.

So, we can say that Andrew Jackson's presidency had taught us not to expell natives from their land, as it is very harmful for the native population.

However, he did support the idea of populism and liberalism, although he only really supported it for whites.

3 0
3 years ago
Karl Marx claimed in The Communist Manifesto that: *
vovikov84 [41]

Answer:

I thin it's

: Creating colonies around the world would lead to a wealthy, powerful nation.

Explanation:

Karl Max understood the Industrial Revolution as creating an unstable system that would collapse in a revolution. His ideas had an impact in the industrializing world of the nineteenth century because they inspired socialist movements and took root in unions, and shaped his idea of communism.

PLEASE MARK BRAINLEST

8 0
3 years ago
The "Headright" system and the Land Lottery of 1805 were similar in that each
valentinak56 [21]
B)
contained provisions to preserve Creek and Cherokee ownership of the land. 
4 0
3 years ago
Read 2 more answers
Other questions:
  • She was born in year 2004 and died in 2004.how come?​
    12·1 answer
  • "yellow journalism" is most associated with what conflict?
    6·2 answers
  • Reported nationwide teenage birth rates have declined which group is largest decline?
    5·1 answer
  • A polish man refers to other poles as polacks and ridicules polish people who dance the polka or eat kielbasa. apparently he has
    5·1 answer
  • Taking into account students’ family backgrounds, ____________ schools tend to outperform ____________ schools in preparing chil
    14·1 answer
  • Rachel has been diagnosed with terminal cancer. She has been spending a lot of time at her church and praying to God. specifical
    9·1 answer
  • What were the changes to Spanish and American claims in North America made by the Adams-Onís Treaty?
    14·1 answer
  • Please help! I give brainliest!
    8·1 answer
  • Why was it so important for the empires and states of central africa to control the sahel region
    6·2 answers
  • Why do we need to reverse transcribe the mrna to cdna before pcr and ngs sequencing?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!