(b) Let R and S be two equivalence relations on X. Are RnS, RUS, R \ S, also equivalence relations on X as well? If they are, then prove it. If they are not, show why they are not.

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
please send handwritten solution for part b
(a) Let R and S be two posets on a set X. Are RNS, RUS, R\ S, also posets on
X as well? If they are, then prove it. If they are not, show why they are not.
(b) Let R and S be two equivalence relations on X. Are RNS, RUS, R \ S, also
equivalence relations on X as well? If they are, then prove it. If they are not, show
why they are not.
Transcribed Image Text:(a) Let R and S be two posets on a set X. Are RNS, RUS, R\ S, also posets on X as well? If they are, then prove it. If they are not, show why they are not. (b) Let R and S be two equivalence relations on X. Are RNS, RUS, R \ S, also equivalence relations on X as well? If they are, then prove it. If they are not, show why they are not.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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,