Theorem 2. Let R and S be binary relations on a set X. Then, (a) (R-1)-1 = R. (b) (RUS)-1 = R-'Us-!. (c) If SC R, then S-1 C R-!.
Theorem 2. Let R and S be binary relations on a set X. Then, (a) (R-1)-1 = R. (b) (RUS)-1 = R-'Us-!. (c) If SC R, then S-1 C R-!.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Theorem 2. Let R and S be binary relations on a set X. Then,
(a) (R-)- = R.
(b) (RU S)-1 = R-'Us-I.
(c) If SC R, then S-' C R-!.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a4e99e0-a2d2-4775-bead-5ec5158cad97%2Fad6ab062-3c29-4d17-a308-6c80617f647b%2Fnshthk_processed.png&w=3840&q=75)
Transcribed Image Text:Theorem 2. Let R and S be binary relations on a set X. Then,
(a) (R-)- = R.
(b) (RU S)-1 = R-'Us-I.
(c) If SC R, then S-' C R-!.
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