Chesley
2020-11-09
Answered

Use proof by Contradiction to prove that the sum of an irrational number and a rational number is irrational.

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Usamah Prosser

Answered 2020-11-10
Author has **86** answers

A real number r is rational if and only if there exists two integer a and b such that

asked 2021-07-28

Let A, B, and C be sets. Show that

asked 2021-08-02

Suppose that A is the set of sophomores at your school and B is the set of students in 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:$\cap \cup$

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:

asked 2021-08-18

Discrete Mathematics Basics

1) Determine whether the relation R on the set of all Web pages is reflexive, symmetric, antisymmetric, and/or transitive, where$(a,b)\in R$ if and only if

I) everyone who has visited Web page a has also visited Web page b.

II) there are no common links found on both Web page a and Web page b.

III) there is at least one common link on Web page a and Web page b.

1) Determine whether the relation R on the set of all Web pages is reflexive, symmetric, antisymmetric, and/or transitive, where

I) everyone who has visited Web page a has also visited Web page b.

II) there are no common links found on both Web page a and Web page b.

III) there is at least one common link on Web page a and Web page b.

asked 2021-08-15

How many elements are in the set
{ 0, { { 0 } }?

asked 2022-01-19

The number of terms in $(x+y+z)}^{30$ is 496.

How many terms would there be if the same terms were combined? How can we find out?

How many terms would there be if the same terms were combined? How can we find out?

asked 2021-07-31

Determine the truth value using truth table (Attach your answer, any image file format):

$p\vee (q\wedge r)\equiv (p\vee q)\wedge (urc{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}\ne rp\vee r)$

asked 2021-05-05

Consider a Poisson process on