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6) Find dom (R), range (R), R-¹,RR,R relations: (a) R = {(x, y) |x, y E N and x divides y}; (b) R = {(x, y)|x, y E R and x + y ≤ 0}. R-¹, R-1 R for the following .

6) Find dom (R), range (R), R-¹,RR,R relations: (a) R = {(x, y) |x, y E N and x divides y}; (b) R = {(x, y)|x, y E R and x + y ≤ 0}. R-¹, R-1 R for the following .

Advanced Engineering Mathematics
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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Relations and functions 

5) Let A, B Ø and (A x B) U (B × A) = C x D. Prove that A = B = C = D. 6) Find dom(R), range(R), R−¹, R·R, R·R¯¹, R-¹. R for the following relations: (a) R = {(x, y) |x, y E N and x divides y}; (b) R = {(x, y) | x, y E R and x + y ≤ 0}.
Transcribed Image Text:5) Let A, B Ø and (A x B) U (B × A) = C x D. Prove that A = B = C = D. 6) Find dom(R), range(R), R−¹, R·R, R·R¯¹, R-¹. R for the following relations: (a) R = {(x, y) |x, y E N and x divides y}; (b) R = {(x, y) | x, y E R and x + y ≤ 0}.
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