Consider the following relations: R₁ = {(a, b) € R²1 a> b), the greater than relation R₂ = ((a, b) = R²1 az b), the greater than or equal to relation R3 = ((a, b) = R²1 a< b), the less than relation €

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following relations:
R₁ = {(a, b) = R² | a > b), the greater than relation
R₂ = {(a, b) = R² | a≥ b), the greater than or equal to relation
E
R3 = {(a, b) = R²1 a < b}, the less than relation
R4 = {(a, b) = R² | a ≤ b), the less than or equal to relation
R5 = {(a, b) = R² | a = b}, the equal to relation
E
R6 = {(a, b) = R² | a‡ b), the unequal to relation
For each of these relations R₁, i = 1, 2, 3, 4, 5, and 6, match each R to its corresponding result.
R₁
Match each of the options above to the items below.
R2
R3
R4
R5
R²
R²
2 R²
3 R²
R²
5
R²
6 R²2
Transcribed Image Text:Consider the following relations: R₁ = {(a, b) = R² | a > b), the greater than relation R₂ = {(a, b) = R² | a≥ b), the greater than or equal to relation E R3 = {(a, b) = R²1 a < b}, the less than relation R4 = {(a, b) = R² | a ≤ b), the less than or equal to relation R5 = {(a, b) = R² | a = b}, the equal to relation E R6 = {(a, b) = R² | a‡ b), the unequal to relation For each of these relations R₁, i = 1, 2, 3, 4, 5, and 6, match each R to its corresponding result. R₁ Match each of the options above to the items below. R2 R3 R4 R5 R² R² 2 R² 3 R² R² 5 R² 6 R²2
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