Let "O" (addition) and "o" (multiplication) be two binary operations on the set V = {x|x € R,x > 0} defined by Vx, y E V, x@y = xy and Vr E R,roy=y respectively. Then which of the following is/are always correct? I. Visclosed under addition. II. V is closed under multiplication. III. V is not commutative with respect to addition. IV. The additive identity of V is 0. (a) Only I (b) Only II (c) Only I and II (d) Only II and IV (e) Only I, Il and IV

Let "O" (addition) and "o" (multiplication) be two binary operations on the set V = {x|x € R,x > 0} defined by Vx, y E V, x@y = xy and Vr E R,roy=y respectively. Then which of the following is/are always correct? I. Visclosed under addition. II. V is closed under multiplication. III. V is not commutative with respect to addition. IV. The additive identity of V is 0. (a) Only I (b) Only II (c) Only I and II (d) Only II and IV (e) Only I, Il and IV

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

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Let "e" (addition) and "o" (multiplication) be two binary operations on the set V = {x|x € R,x >
0} defined by Vx, y E V , x ®y = xy and Vr E R,roy = y respectively. Then which of the following
is/are always correct?
I. Visclosed under addition.
II. V is closed under multiplication.
III. V is not commutative with respect to addition.
IV. The additive identity of V is 0.
(a) Only I
(b) Only II
(c) Only I and II
(d) Only II and IV
(e) Only I, I and IV

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