The following statement is true. V nonzero number x, 3 a real number y such that xy = 1. For each x given below, fill in a value of y to make the predicate "xy = 1" true. (a) x = 7 Let y = (b) x = -1 Let y = (c) x = 56 Let y = 17
The following statement is true. V nonzero number x, 3 a real number y such that xy = 1. For each x given below, fill in a value of y to make the predicate "xy = 1" true. (a) x = 7 Let y = (b) x = -1 Let y = (c) x = 56 Let y = 17
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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![The following statement is true:
\[ \forall \text{nonzero number } x, \exists \text{a real number } y \text{ such that } xy = 1. \]
For each \( x \) given below, fill in a value of \( y \) to make the predicate "xy = 1" true.
(a) \( x = 7 \)
\[ \text{Let } y = \frac{1}{7} \]
(b) \( x = -1 \)
\[ \text{Let } y = -1 \]
(c) \( x = \frac{5}{6} \)
\[ \text{Let } y = \text{[Fill in the blank]} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b319816-3828-4c3a-a4b8-8b6da6d278f2%2F61814ed1-9b52-4414-b65c-8d68a1b532b4%2F7ysp1u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following statement is true:
\[ \forall \text{nonzero number } x, \exists \text{a real number } y \text{ such that } xy = 1. \]
For each \( x \) given below, fill in a value of \( y \) to make the predicate "xy = 1" true.
(a) \( x = 7 \)
\[ \text{Let } y = \frac{1}{7} \]
(b) \( x = -1 \)
\[ \text{Let } y = -1 \]
(c) \( x = \frac{5}{6} \)
\[ \text{Let } y = \text{[Fill in the blank]} \]
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