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QUESTION 7 Let G be the interval (2/3, ∞). Let be the operation on G such that, for all x, y = G, x=y=3xy-2(x+y)+2. i. Write down the identity element e for (G, ). You need not write a proof of the identity law. ii. Prove the inverse law for (G, ¤).

QUESTION 7 Let G be the interval (2/3, ∞). Let be the operation on G such that, for all x, y = G, x=y=3xy-2(x+y)+2. i. Write down the identity element e for (G, ). You need not write a proof of the identity law. ii. Prove the inverse law for (G, ¤).

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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QUESTION 7 Let G be the interval (2/3, ∞). Let be the operation on G such that, for all x, y E G, x=y=3xy-2(x+y)+2. i. Write down the identity element e for (G, ). You need not write a proof of the identity law. ii. Prove the inverse law for (G, ).
Transcribed Image Text:QUESTION 7 Let G be the interval (2/3, ∞). Let be the operation on G such that, for all x, y E G, x=y=3xy-2(x+y)+2. i. Write down the identity element e for (G, ). You need not write a proof of the identity law. ii. Prove the inverse law for (G, ).
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