Q-2 In each of the following implications, where x, y, and z are numbers, decide: (i) if the implication is true; and (ii) if the converse implication is true. (a) x = √4 ⇒ x = 2 (b) (x = 2 and y = 5) ⇒ x + y = 7 (c) (x − 1)(x − 2)(x − 3) = 0 ⇒ x = 1 (d) x2 + y2 = 0 ⇒ x = 0 or y = 0 (e) (x = 0 and y = 0) ⇒ x2 + y2 = 0 (f) xy = xz ⇒ y = z
Q-2 In each of the following implications, where x, y, and z are numbers, decide: (i) if the implication is true; and (ii) if the converse implication is true. (a) x = √4 ⇒ x = 2 (b) (x = 2 and y = 5) ⇒ x + y = 7 (c) (x − 1)(x − 2)(x − 3) = 0 ⇒ x = 1 (d) x2 + y2 = 0 ⇒ x = 0 or y = 0 (e) (x = 0 and y = 0) ⇒ x2 + y2 = 0 (f) xy = xz ⇒ y = z
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Q-2
In each of the following implications, where x, y, and z are numbers, decide: (i) if the implication is
true; and (ii) if the converse implication is true.
(a) x = √4 ⇒ x = 2
(b) (x = 2 and y = 5) ⇒ x + y = 7
(c) (x − 1)(x − 2)(x − 3) = 0 ⇒ x = 1
(d) x2 + y2 = 0 ⇒ x = 0 or y = 0
(e) (x = 0 and y = 0) ⇒ x2 + y2 = 0
(f) xy = xz ⇒ y = z
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