Let G = {-23, –7, -3, –1,1,3, 5, 7, 14, 27, 42}.Decide if the following statements are true/false. Give a support to your answer.(a) Vr E G : if I < 0 then the ones digit of z is 3.(b) 3r, y E G : 1 · y = -21.(c) Vr EG: if the ones digit of a is 2 or 4 then r > 7.(d) 3r, y E G : (r² - y² = 0) ^ (x > 10) ^ (y > 10).

Name: Let G = {-23, –7, -3, –1,1,3, 5, 7, 14, 27, 42}.Decide if the followi
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Description: Let G = {-23, –7, -3, –1,1,3, 5, 7, 14, 27, 42}.Decide if the following statements are true/false. Give a support to your answer.(a) Vr E G : if I < 0 then the ones digit of z is 3.(b) 3r, y E G : 1 · y = -21.(c) Vr EG: if the ones digit of a is 2 o

Consider the given set. G=-23,-7,-3,-1,1,3,5,7,14,27,42 (1) ∀x∈G: if x<0 then the one's digit of…

Answered: Let G = {-23, -7,-3,-1,1,3, 5, 7,14,…

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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Let G = {-23, –7, -3, –1,1,3, 5, 7, 14, 27, 42}.
Decide if the following statements are true/false. Give a support to your answer.
(a) Vr E G : if I < 0 then the ones digit of z is 3.
(b) 3r, y E G : 1 · y = -21.
(c) Vr EG: if the ones digit of a is 2 or 4 then r > 7.
(d) 3r, y E G : (r² - y² = 0) ^ (x > 10) ^ (y > 10).

Expert Solution

Step 1

Consider the given set.

$G = \{- 23, - 7, - 3, - 1, 1, 3, 5, 7, 14, 27, 42\}$

(1)

$\forall x \in G :$ if x<0 then the one's digit of x is 3.

The given condition is False.

Let x=-1.

The number -1 is less than zero but there is no one digit 3.

So, the given statement is false.

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