Let R₁ = {(a, b) = R² | a > b} R₂ = {(a, b) = R² | a ≥ b} R3 = {(a, b) € R² | a

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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Let
R₁ = {(a, b) = R² | a > b}
R₂ = {(a, b) = R² | a ≥ b}
R3 = {(a, b) € R² | a < b}
R₁ = {(a, b) = R² | a ≤ b}
R5 = {(a, b) € R² | a = b}
R6 = {(a, b) = R² | a ‡ b}
Find the following, with at least a little translation or explanation.
(a) R₁ UR3
(b) R₁ U R5
(c) R₂
R4
(d) R3 R5
(e) R₁ R₂
(f) R₂ - R₁
(g) R₁ R3
(h) R₂ R4
(i) R₁0 R₁
(j) R₁0 R₂
(k) R₁0 R3
(1) R₁0 R₁
(m) R₁ 0 R5
(n) R₁0 R₁
(0) R₂0 R3
(p) R3 0 R3
Transcribed Image Text:Let R₁ = {(a, b) = R² | a > b} R₂ = {(a, b) = R² | a ≥ b} R3 = {(a, b) € R² | a < b} R₁ = {(a, b) = R² | a ≤ b} R5 = {(a, b) € R² | a = b} R6 = {(a, b) = R² | a ‡ b} Find the following, with at least a little translation or explanation. (a) R₁ UR3 (b) R₁ U R5 (c) R₂ R4 (d) R3 R5 (e) R₁ R₂ (f) R₂ - R₁ (g) R₁ R3 (h) R₂ R4 (i) R₁0 R₁ (j) R₁0 R₂ (k) R₁0 R3 (1) R₁0 R₁ (m) R₁ 0 R5 (n) R₁0 R₁ (0) R₂0 R3 (p) R3 0 R3
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