Prove that a number in the form 6k+5,” what I mean is a number in the form of 6 times some integer plus 5. So to consider two arbitrary numbers of that form, you would need to use different symbols for each integer such as 6a+5 and 6b+5, or with subscripts: . Then show that the product of those two numbers can be expressed in the form 6m+1 where m is an integer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
icon
Related questions
Question

Prove that a number in the form 6k+5,” what I mean is a number in the form of 6 times some integer plus 5. So to consider two arbitrary numbers of that form, you would need to use different symbols for each integer such as 6a+5 and 6b+5, or with subscripts: . Then show that the product of those two numbers can be expressed in the form 6m+1 where m is an integer.

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell