Problem 2. Consider the following relations on the set of real numbers: R1 = {(a, b) e R² | a > b}, the “greater than" relation, R2 = {(a, b) e R² | a > b}, the “greater than or equal to" relation, R3 = {(a, b) e R² | a < b}, the “less than" relation, R4 = {(a, b) e R² | a < b}, the “less than or equal to" relation, R5 = {(a, b) e R² | a = b}, the “equal to" relation, R6 = {(a, b) e R² | a + b}, the “unequal to" relation. Find a) R¡U R3. c) R2N R4. b) R¡ U R5. d) R3N R5. e) R¡ – R2. f) R2 – R1. g) R¡ Ð R3. h) R2 R4.
Problem 2. Consider the following relations on the set of real numbers: R1 = {(a, b) e R² | a > b}, the “greater than" relation, R2 = {(a, b) e R² | a > b}, the “greater than or equal to" relation, R3 = {(a, b) e R² | a < b}, the “less than" relation, R4 = {(a, b) e R² | a < b}, the “less than or equal to" relation, R5 = {(a, b) e R² | a = b}, the “equal to" relation, R6 = {(a, b) e R² | a + b}, the “unequal to" relation. Find a) R¡U R3. c) R2N R4. b) R¡ U R5. d) R3N R5. e) R¡ – R2. f) R2 – R1. g) R¡ Ð R3. h) R2 R4.
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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Transcribed Image Text:Problem 2. Consider the following relations on the set of real numbers:
R1 = {(a, b) e R² | a > b}, the “greater than" relation,
R2 = {(a, b) e R² | a > b}, the “greater than or equal to"
relation,
R3 = {(a, b) e R² | a < b}, the “less than" relation,
R4 = {(a, b) e R² | a < b}, the “less than or equal to"
relation,
R5 = {(a, b) e R?
| a = b}, the “equal to" relation,
R6 = {(a, b) e R² | a + b}, the “unequal to" relation.
Find
a) R¡ U R3.
b) Rị U R5.
c) R2N R4.
d) R3 N R5.
e) R1 – R2.
f) R2 – R1.
g) Rị & R3.
h) R2 R4.
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