Expert Help & Insights for Discrete Mathematics Answers

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Express the following in set-builder notation in discrete math:
a)The set A of natural numbers divisible by 3.
b)The set B of pairs (a,b) of real numbers such that a + b is an integer.
c)The open interval C = (—2,2).
d)The set D of 20 element subsets of N.

Joni Kenny 2021-08-05

Prove or disprove $⌈ \frac{x}{3} ⌉ = ⌊ \frac{x + 1}{3} ⌋$

djeljenike 2021-08-03

A)Write the negation of the statement: "If 2 is prime then 2+4>10"
B) Determine the type of the statement:
$(\sim q \land (p \to q)) \to\sim p$ pts)
C)Prove by contradiction: If ab is even then a or b is even.

FobelloE 2021-08-03

To determine:
a) Using "Proof by Contraposition", show that: If n is any odd integer and m is any even integer, then, $3 m^{3} + 2 m^{2}$ is odd.
b) Using the Mathematical Induction to prove that: $3^{2 n} - 1$ is divisible by 4, whenever n is a positive integer.

sanuluy 2021-08-03

Under what conditions is $⌊ x ⌋ = ⌈ x ⌉ - 1$

Carol Gates 2021-08-03

Determine whether each statement is true or false. For each true statement, give a direct evidence as justication. For each false statement, give a counterexample as defense.( separate calculation)
i) If x + y is an even integer, then x and y are both even integers.
ii) If $x^{2} = y^{2}$ , then x=y.
iii) The $m e a n^{1}$ of two even numbers is even.
iv) If x and y are even integers, then x + y is an even integer.

Clifland 2021-08-03

A 5-card hand is dealt from a perfectly shuffled deck of playing cards. What is the probability that the hand is a full house? A full house has three cards of the same rank and another pair of the same rank. For example, ${4 ♠, 4 ♡, 4 ♢, J ♠, J ♣}$

Chardonnay Felix 2021-08-03

Use symbols to write the logical form of the following arguments. If valid, identify the rule of inference that guarantees its validity. Otherwise, state whether the converse or the inverse error has been made.
If you study hard for your discrete math final you will get an A.
Jane got an A on her discrete math final.
Therefore, Jane must have studied hard.

Lewis Harvey 2021-08-03

Give the full and correct answer for define discrete math?

Tabansi 2021-08-02

Express the following in set-builder notation:
a)The set A of natural numbers divisible by 3.
b)The set B of pairs (a,b) of real numbers such that a + b is an integer.
c)The open interval C = (—2,2).
d)The set D of 20 element subsets of N.

pedzenekO 2021-08-02

Let $S = {10 n - 1 : n \in Z}$ , T be the set of odd integers, and $U = {6 m + 4 : m \in Z}$
Prove that discrete math $S \subseteq T \cap U$ .

Dottie Parra 2021-08-02

Suppose that A is the set of sophomores at your school and B is the set of students taking discrete mathematics at your school. Express each of these sets in terms of A and B.
a) the set of sophomores taking discrete mathematics in your school
b) the set of sophomores at your school who are not taking discrete mathematics
c) the set of students at your school who either are sophomores or are taking discrete mathematics
Use these symbols: $\cap \cup$

Kaycee Roche 2021-08-02

Using cardinatility of sets in discrete mathematics the value of N is real numbers
Currently using elements of discrete mathematics by Richard Hammack chapter 18
Let A be a collection of sets such that $X \in A$ if and only if $X \subset N$ and $| X | = n$ for some $n \in N$
Prove that $| A | = | N | .$

tinfoQ 2021-08-01

Prove: Any postage of 24 or more can be constructed using 5 and 7 cent stamps.
Use K and $K + 1$ for the induction hypothesis.

Jaden Easton 2021-08-01

Discrete Math Cryptography
Dan uses the RSA cryptosystem to allow people to send him ecrypted messages. He selects the parameters:
p = 17. q = 41. e = 61. d = 21
What ate the numbers that Dan publishes as the public key?

snowlovelydayM 2021-07-31

Determine the truth value using truth table (Attach your answer, any image file format):
$p \lor (q \land r) \equiv (p \lor q) \land (u r c or \neq r p \lor r)$

sanuluy 2021-07-31

Find the SPI form of the Boolean expression whose Karnaugh map is below.
$\begin{array}{cc} y z & y \overset{―}{z} & \overset{―}{y} \overset{―}{z} & \overset{―}{y} z \\ w z & 1 & 1 & 1 \\ w \overset{―}{x} & 1 & 1 & 1 \\ \overset{―}{w} \overset{―}{x} & 1 & 1 & 1 \\ \overset{―}{w} x & 1 & 1 & 1 \end{array}$

babeeb0oL 2021-07-30

Solve the following recurrence relation:
a) $a_{n + 1} = d a_{n} + c, a_{0} = 0$
b) $a_{n + 1}^{3} = 2 a_{n}^{3}, a_{0} = 5$
c) $F_{n} = 5 F_{n - 1} - 6 F_{n - 2}, F_{0} = 1$ and $F_{1} = 4$

abondantQ 2021-07-30

Let R be the relation from X={1,2,3,5} to Y={0,3,4,9} defined by xRy if and only if $x^{2} = y$

Burhan Hopper 2021-07-30

Find the shortest path from vertex v to vertex w in the graph
each step show your work and label new vertices

Dealing with discrete Math is an interesting subject because discrete Math equations can be encountered basically anywhere from scheduling of sports games and live shows to education where each person is examined online. It is a reason why discrete math questions that we have collected for you are aimed at solutions that go beyond equations to provide you with the answers that will help you understand the concept. Still, discrete Math equations are explained as well by turning to problems in computer science, programming, software, and cryptography among other interesting subjects like software and mobile apps development.

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