How many integer solutions are there to x1 + x2 + x3 + x4 + x5 = = 28 if (a) x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, x4 ≥ 0, x5 ≥ 0? Explain your answer. (b) x1 > 0, x2 > 0, x3 > 0, x4 ≥ 0, x5 ≥ 0? Explain your answer. (c) x1 ≥ 1, x2 ≥ 2, x3 ≥ 3, x4 ≥ 4×5 ≥ 5? Explain your answer.

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
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 37WE
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How many integer solutions are there to x1 + x2 + x3 + x4 + x5 = = 28 if
(a) x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, x4 ≥ 0, x5 ≥ 0? Explain your answer.
(b) x1 > 0, x2 > 0, x3 > 0, x4 ≥ 0, x5 ≥ 0? Explain your answer.
(c) x1 ≥ 1, x2 ≥ 2, x3 ≥ 3, x4 ≥ 4×5 ≥ 5? Explain your answer.
Transcribed Image Text:How many integer solutions are there to x1 + x2 + x3 + x4 + x5 = = 28 if (a) x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, x4 ≥ 0, x5 ≥ 0? Explain your answer. (b) x1 > 0, x2 > 0, x3 > 0, x4 ≥ 0, x5 ≥ 0? Explain your answer. (c) x1 ≥ 1, x2 ≥ 2, x3 ≥ 3, x4 ≥ 4×5 ≥ 5? Explain your answer.
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