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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
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) \( x = \frac{5}{6} \) \[ \text{Let } y = \text{[Fill in the blank]} \]
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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