Mathematics, 22.02.2020 20:09, lovemichelle638

Decide whether the set A of positive integers divisible by 17 and B the set of positive integers
divisible by 11 are in bijection.

Answers: 1

Show answers

Answers

answered: quesleeze

Yes; see clarification of the question and the complete answer explained answer below.

Explanation:

Two sets are in bijection if the function that relates them is bijective.

Thus, the question may be reformulated to: is it possible that the two sets A and B are related by a bijective function?

A bijective function is both inyective and surjective, which implies that it is invertible.

Inyective means that any element of the domain is mapped into exactly one element of the codomain.

Surjective means that each element of the codoman is related exactly with one element of the codomain.

That implies that there are no unpaired elements.

Assume the set A is the domain of your function and B is the codomain.

Then, the question is: is it possible for the set {17, 34, 51, 68, 85, . . .} to be in bijection with the set {11, 22, 33, 44, 55, . . . }?

Realize the two sets do not have common elements, because 17 and 34 are relative primes.

It is possible to set a bijective function of A onto B, or of B onto A, if and only if the two sets have the same cardinality (number of elements).

Indeed, the two sets A and B have the same cardinality: both have the same size, thus you may conclude that there could be a bijection relation between them and thus the two sets are in bijection.

answered: abbydamaso5048

The given two sets A and B are in the same cardiality and thereby in the bijection and this can be determined by using the given data.

GIven :

Set A : {17, 34, 51, 68, 85, . . .}

Set B : {11, 22, 33, 44, 55, . . .}

Bijection can be defined as the set of the injective and surjective variables. The set has been termed be injective and surjective when there has been the absence of the unpaired elements in the sets.

The given set has been of 17, 34 …. and another set has been 11, 22… The two sets have been consisted of the common element and thereby the common cardiality. Thus, the two sets have been in the bijection with one another.

For more information about the bijection, refer to the link given below:

link

answered: Guest

The vertex of the quadratic function is (1.5, -.75)

answered: Guest

i dont know

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 20:00, annieleblanc2004

Which type of graph would allow us to quickly see how many students between 100 and 200 students were treated?

Answers: 1

continue

Mathematics, 21.06.2019 21:50, shay68596

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality

Answers: 3

continue

Mathematics, 21.06.2019 23:00, Hannahrose911

Someone answer this asap for gabriella uses the current exchange rate to write the function, h(x), where x is the number of u. s. dollars and h(x) is the number of euros, the european union currency. she checks the rate and finds that h(100) = 7.5. which statement best describes what h(100) = 75 signifies? a. gabriella averages 7.5 u. s. dollars for every 100 euros. b. gabriella averages 100 u. s. dollars for every 25 euros. c. gabriella can exchange 75 u. s. dollars for 100 euros. d. gabriella can exchange 100 u. s. dollars for 75 euros.

Answers: 1

continue

Mathematics, 22.06.2019 00:00, hotonkylie147

Which of the following will form the composite function?

Answers: 3

continue

Do you know the correct answer?

Decide whether the set A of positive integers divisible by 17 and B the set of positive integers