I request you to please send me the step-by-step solution for the below theorems... Needed to be solved clearly, please... Needed a brief explanation... Proposition. Suppo se we want to approzimate a number a with a rational number with denominator q E N.Then there exists an inte ger a for which129Proof. Easy extra practice.

Answered: Image /qna-images/answer/6800787e-08b1-4b3f-aed8-30938c981116.jpg

Answered: Proposition. Suppose we want to…

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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Is there a specific way to identify, analyze and find a solution to inequalities that are rational? Can u give me an example of how i could?
The first two problems I need help with
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i am stuck with a question where I need to prove the following: (1+||x+y||)≤(1+||x||)(1+||y||) I know I need to simplify the right side, but from there I am lost, I see solutions where ||x||||y|| is ignored because its greater than or equal to zero, but I dont get why we ignore ||x||||y|| but not ||x||+||y||, if able please give the proof with explanation I would be very thankful
Provide a coherent answer for items C and D.
ENSURE THAT YOU TAKE NOTE OF HOW MANY ATTEMPTS ARE GIVEN FOR EACH PROBLEM ON THIS ASSIGNMENT. SOME OF THE PROBLEMS ONLY ALLOW FOR ONE ATTEMPT DUE TO THE NATURE OF THE PROBLEM. Let A = -1 ELELETE 70= 5 -1 -5 -3 4 8 12 (c) Is a in N(A)? -4 -5 -12 Answer each of the following with Yes or No (a) Is 7 in N(A)? (b) Is w in N(A)? = -3 0 1 and = 5 -3 2
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I am needing help with understanding how we get the calculations for the powers. If the equation is the same for the P=X... Why (P)X=14 has the power 14, but (P)X=17 and P=11? How do we get 0 in the probelm (P)X=17? why is it not 17? Also in problem (P)X=11, why is X not 11 and the powers are 12 and 13. What makes these tow problems different from (P)X=14? How do we determine these other powers? I hope my questions make sense.. See attached picture Thank you so much!

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Proposition. Suppose we want to approzimate a number I with a rational number with denominator q E N. Then there erists an integer a for which 2g