This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, RUS = {(x, y) EAXB | (x, y) ER or (x, y) ES) Rns={(x, y) EAxBI (x, y) ER and (x, y) E S). Let A = (-2, 2, 5, 7) and B (2, 5) and define relations R and S from A to B as follows: For every (x, y) EA x B, xRylxl = lyl and xSyx-y is even. Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RUS, and R n S. (Enter your answers as comma-separated lists of ordered pairs.) AxB= R = S = RUS = Rns=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any
subsets. Given two relations R and S from a set A to a set B,
RUS = {(x, y) EAXB | (x, y) ER or (x, y) ES)
Rns={(x, y) EAxBI (x, y) ER and (x, y) E S).
Let A = (-2, 2, 5, 7) and B (2, 5) and define relations R and S from A to B as follows: For every (x, y) EA x B,
xRylxl = lyl and
xSyx-y is even.
Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RUS, and R n S. (Enter your answers as comma-separated lists of ordered pairs.)
AxB=
R =
S =
RUS =
Rns=
Transcribed Image Text:This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, RUS = {(x, y) EAXB | (x, y) ER or (x, y) ES) Rns={(x, y) EAxBI (x, y) ER and (x, y) E S). Let A = (-2, 2, 5, 7) and B (2, 5) and define relations R and S from A to B as follows: For every (x, y) EA x B, xRylxl = lyl and xSyx-y is even. Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RUS, and R n S. (Enter your answers as comma-separated lists of ordered pairs.) AxB= R = S = RUS = Rns=
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,