19. Which of the ff. shaded region will best describe the solution set of the system of inequalities: (x 2 0) A (y N 0) ^ (2x + y< 4) ^ (3x + 5y 2 15)? (A) (B) (D)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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For items 21 - 25:
Let U = {x | x is a non-negative integer}, B = {x E U | x is a natural number divisible by 3},
C = {x EU | x is divisible by 4}, and A = {r €U | x is a multiple of 5}.
21. Which of the following is equal to U?
(A) {12,24, 36, 48, 60, 72, 84, 96, . ..}
(B) {0,1,2, 3, 4, 5, 6, 7, 8, 9, 10, ..}
(C) {4,6, 8, 12, 16, 20, 24, 28, 32, 36, ...}
(D) {1,2, 3, 4, 5, 6, 7, 8, 9, 10, ...}
22. Which of the following is equal to AN B?
(A) {12,24, 36, 48, 60, 72, 84, 96, . . .}
(B) {0,3,5, 6, 9, 10, 12, 15, 18, 20, 21, 25...}
(C) {4,6, 8, 12, 16, 20, 24, 28, 32, 36, ...}
(D) {15,30, 45, 60, 75, 90, 105, 120, ...}
Transcribed Image Text:For items 21 - 25: Let U = {x | x is a non-negative integer}, B = {x E U | x is a natural number divisible by 3}, C = {x EU | x is divisible by 4}, and A = {r €U | x is a multiple of 5}. 21. Which of the following is equal to U? (A) {12,24, 36, 48, 60, 72, 84, 96, . ..} (B) {0,1,2, 3, 4, 5, 6, 7, 8, 9, 10, ..} (C) {4,6, 8, 12, 16, 20, 24, 28, 32, 36, ...} (D) {1,2, 3, 4, 5, 6, 7, 8, 9, 10, ...} 22. Which of the following is equal to AN B? (A) {12,24, 36, 48, 60, 72, 84, 96, . . .} (B) {0,3,5, 6, 9, 10, 12, 15, 18, 20, 21, 25...} (C) {4,6, 8, 12, 16, 20, 24, 28, 32, 36, ...} (D) {15,30, 45, 60, 75, 90, 105, 120, ...}
19. Which of the ff. shaded region will best describe the solution set of the system of inequalities:
(x > 0) ^ (y > 0) ^ (2x + y < 4) ^ (3x + 5y > 15)?
(A)
(B)
(D)
20. This component of a linear programming model refers to a linear function or equation that defines
what we want to optimize (maximize or minimize).
(A) linear programming model
(C) decision variables
(B) linear contraints
(D) objective function
Transcribed Image Text:19. Which of the ff. shaded region will best describe the solution set of the system of inequalities: (x > 0) ^ (y > 0) ^ (2x + y < 4) ^ (3x + 5y > 15)? (A) (B) (D) 20. This component of a linear programming model refers to a linear function or equation that defines what we want to optimize (maximize or minimize). (A) linear programming model (C) decision variables (B) linear contraints (D) objective function
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