Use the definitions of even and odd numbers to justify your answers for (a)-(c). Assume that c is a particular integer. (a) Is -8c an even integer? 2(-4c) + 1 and -4c is an integer. Yes, because -8c = 2(-4c) and -4c is an integer. Yes, because -8c = No, because -8c = 2(-4c) and -4c is an integer. !3! No, because -8c 2(-4c) +1 and -4c is an integer. %3D (b) Is 8c + 7 an odd integer? Yes, because 8c + 7 = 2(4c + 3) + 1 and 4c + 3 is an integer. Yes, because 8c + 7 = 2(4c + 3) and 4c + 3 is an integer. No, because 8c + 7 = 2(4c + 3) + 1 and 4c + 3 is an integer. O No, because 8c + 7 = 2(4c + 3) and 4c + 3 is an integer. (c) Is (c? + 3) - (c? - 3) - 6 an even integer? Yes, because (c2 + 3) - (c2 - 3) - 6 - 2(0) and 0 is an integer. O Yes, because (c2 + 3) - (c2 - 3) - 6 = 2(0) + 1 and 0 is an integer. No, because (c2 + 3) - (c2 - 3) - 6 = 2(0) and 0 is an integer. No, because (c2 + 3) - (c2 - 3) - 6 = 2(0) + 1 and 0 is an integer.
Use the definitions of even and odd numbers to justify your answers for (a)-(c). Assume that c is a particular integer. (a) Is -8c an even integer? 2(-4c) + 1 and -4c is an integer. Yes, because -8c = 2(-4c) and -4c is an integer. Yes, because -8c = No, because -8c = 2(-4c) and -4c is an integer. !3! No, because -8c 2(-4c) +1 and -4c is an integer. %3D (b) Is 8c + 7 an odd integer? Yes, because 8c + 7 = 2(4c + 3) + 1 and 4c + 3 is an integer. Yes, because 8c + 7 = 2(4c + 3) and 4c + 3 is an integer. No, because 8c + 7 = 2(4c + 3) + 1 and 4c + 3 is an integer. O No, because 8c + 7 = 2(4c + 3) and 4c + 3 is an integer. (c) Is (c? + 3) - (c? - 3) - 6 an even integer? Yes, because (c2 + 3) - (c2 - 3) - 6 - 2(0) and 0 is an integer. O Yes, because (c2 + 3) - (c2 - 3) - 6 = 2(0) + 1 and 0 is an integer. No, because (c2 + 3) - (c2 - 3) - 6 = 2(0) and 0 is an integer. No, because (c2 + 3) - (c2 - 3) - 6 = 2(0) + 1 and 0 is an integer.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.7: Multiplying Dividing, And Simplifying Radicals
Problem 44WE
Related questions
Question
Transcribed Image Text:Use the definitions of even and odd numbers to justify your answers for (a)-(c). Assume that c is a particular integer.
(a) Is -8c an even integer?
2(-4c) + 1 and -4c is an integer.
Yes, because -8c = 2(-4c) and -4c is an integer.
Yes, because -8c =
No, because -8c = 2(-4c) and -4c is an integer.
!3!
No, because -8c 2(-4c) + 1 and -4c is an integer.
%3D
(b) Is 8c + 7 an odd integer?
Yes, because 8c + 7 = 2(4c + 3) + 1 and 4c + 3 is an integer.
Yes, because 8c + 7 = 2(4c + 3) and 4c + 3 is an integer.
No, because 8c +7 = 2(4c + 3) + 1 and 4c + 3 is an integer.
O No, because 8c + 7 = 2(4c + 3) and 4c + 3 is an integer.
(c) Is (c? + 3) - (c2 - 3) - 6 an even integer?
Yes, because (c2 + 3) - (c2 - 3) - 6 - 2(0) and 0 is an integer.
O Yes, because (c2 + 3) - (c2 - 3) - 6 = 2(0) + 1 and 0 is an integer.
No, because (c2 + 3) - (c2 - 3) - 6 = 2(0) and 0 is an integer.
No, because (c2 + 3) - (c2 - 3) - 6 = 2(0) + 1 and 0 is an integer.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
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
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning