Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Let A = {x € Z: x = 4y + 1 for some y € Z} and let B = {x € Z : x = 2k + 1 for some k € Z}. Part A Write out at least three distinct elements of A and three distinct elements of B. Part B Is 7 € A? Is 7 € B? Part C Use the element method to write a proof that AC B. udor als ze our Faltanpa talous Gas & se to sloutua Chaden unsa 1020 dotsvars yod odjob anong h Part D Would your proof still work if we instead defined B = {xez: x= 2k + 1 for some k E N}? Briefly explain why or why not.

Let A = {x € Z: x = 4y + 1 for some y € Z} and let B = {x € Z : x = 2k + 1 for some k € Z}. Part A Write out at least three distinct elements of A and three distinct elements of B. Part B Is 7 € A? Is 7 € B? Part C Use the element method to write a proof that AC B. udor als ze our Faltanpa talous Gas & se to sloutua Chaden unsa 1020 dotsvars yod odjob anong h Part D Would your proof still work if we instead defined B = {xez: x= 2k + 1 for some k E N}? Briefly explain why or why not.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
See similar textbooks
icon
Related questions
Question

I need help understanding and solving this problem. Thank you. 

Let A = {x € Z : x = 4y +1 for some y € Z} and let B = {x € Z : x = 2k +1 for some k € Z}. Part A Write out at least three distinct elements of A and three distinct elements of B. Part B Is 7 € A? Is 7 € B? Part C Use the element method to write a proof that AC B. fine are lo slauta (ha Jens 0050 1025 dot var en god dyb or wo vilgs bize 0173 Part D Would your proof still work if we instead defined B = {x Ez : x = 2k+ 1 for some k E N}? Briefly explain why or why not. 3
Transcribed Image Text:Let A = {x € Z : x = 4y +1 for some y € Z} and let B = {x € Z : x = 2k +1 for some k € Z}. Part A Write out at least three distinct elements of A and three distinct elements of B. Part B Is 7 € A? Is 7 € B? Part C Use the element method to write a proof that AC B. fine are lo slauta (ha Jens 0050 1025 dot var en god dyb or wo vilgs bize 0173 Part D Would your proof still work if we instead defined B = {x Ez : x = 2k+ 1 for some k E N}? Briefly explain why or why not. 3
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS