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Learning Task 1: What inequality true. 1. 2x = 6 %3D 2. 2x + 2 = 8 3. =D3 6.

Learning Task 1: What inequality true. 1. 2x = 6 %3D 2. 2x + 2 = 8 3. =D3 6.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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Answer Learning Task 1, 2, and 3
21 + 2w s 80, the perimeter can be 80 but not more than 2(2x + 4) + 2(x) s 80 4x +8 + 2x 80 6x +8 s 80 simplify 6x + 8-8 s 80 - 8 by API CLMB 6x 72 Xs 12 by MPI The possible width is 0 < width s 12, since there is no negative measurement. Since 1= 2x + 4, if x 0 then the length is 4, however the width must be greater than 0, therefore the length is greater than 4. The highest possible width is 12, then the length is 2(12) + 4 = 28 , therefore the length can be equal or less than 28. The possible length is 4< length s 28. Possible dimensions of rectangle are: w = 12, 1 = 28; w = 11, 1 = 26, etc. D Learning Task 1: What value or value of x that will make the equation or inequality true. 1. 2x = 6 6. 5x > 5 2. 2x + 2 = 8 7. 3x- 4 < 5 8. > 4 2x 3. = 3 4. 3(x- 2) = 0 9. 2(x+3) < 0 5. 3+x 2x - :- 1 10.5 + x < 2x - 1
Transcribed Image Text:21 + 2w s 80, the perimeter can be 80 but not more than 2(2x + 4) + 2(x) s 80 4x +8 + 2x 80 6x +8 s 80 simplify 6x + 8-8 s 80 - 8 by API CLMB 6x 72 Xs 12 by MPI The possible width is 0 < width s 12, since there is no negative measurement. Since 1= 2x + 4, if x 0 then the length is 4, however the width must be greater than 0, therefore the length is greater than 4. The highest possible width is 12, then the length is 2(12) + 4 = 28 , therefore the length can be equal or less than 28. The possible length is 4< length s 28. Possible dimensions of rectangle are: w = 12, 1 = 28; w = 11, 1 = 26, etc. D Learning Task 1: What value or value of x that will make the equation or inequality true. 1. 2x = 6 6. 5x > 5 2. 2x + 2 = 8 7. 3x- 4 < 5 8. > 4 2x 3. = 3 4. 3(x- 2) = 0 9. 2(x+3) < 0 5. 3+x 2x - :- 1 10.5 + x < 2x - 1
Learning Task 2: Do this in a separate sheet of paper. A. Solve for x in the equation. 1. 1. 5x+ 12-2x-3 2. 3x+ 6--2x + 1 descri Draw 3. -4x= 7 guidec 4. 1.4x-3.8-0.4x + 6.2 5. 5(x-2) + 2x = 7(x +4)- 38 NG B. Solve for x in the inequality. Write your answer in a) set notation, b) interval hotation and c) graph 1. 2x s 4 2. -3 < 2x + 3 < 15 CLMD YON 3. 5x-4 > 6 2x 1 3 2 Learni 4. +->x- Learnir 5. 0.8+ 0.6x 2 4.2 Learnin Learnir A Learnir Learnin Learning Task 3 Learnin Solve the word problems Learnin 1. The sides of the quadrilateral are consecutive numbers. If the perimeter is 160, how long is each side? Learnin Learnin 2. Inzo is 10 years older than Migz. Five years ago Migs is one-third as old as Inzo. What are their present ages? Learnin Learnin 3. An express train travels 100 kph from station A to station B. A local train travelling at 45 kph, takes 45 minutes longer for the same trip. How far apart is station A from station B. Learnin Learning 4. The sum of two conseceutive even integers is less than 60 but greater than 24. L Find at least 3 pairs of numbers 5. The perimeter of the square is less than 152 m. Find the possible length of the sides of the square. Not pers up to VAV
Transcribed Image Text:Learning Task 2: Do this in a separate sheet of paper. A. Solve for x in the equation. 1. 1. 5x+ 12-2x-3 2. 3x+ 6--2x + 1 descri Draw 3. -4x= 7 guidec 4. 1.4x-3.8-0.4x + 6.2 5. 5(x-2) + 2x = 7(x +4)- 38 NG B. Solve for x in the inequality. Write your answer in a) set notation, b) interval hotation and c) graph 1. 2x s 4 2. -3 < 2x + 3 < 15 CLMD YON 3. 5x-4 > 6 2x 1 3 2 Learni 4. +->x- Learnir 5. 0.8+ 0.6x 2 4.2 Learnin Learnir A Learnir Learnin Learning Task 3 Learnin Solve the word problems Learnin 1. The sides of the quadrilateral are consecutive numbers. If the perimeter is 160, how long is each side? Learnin Learnin 2. Inzo is 10 years older than Migz. Five years ago Migs is one-third as old as Inzo. What are their present ages? Learnin Learnin 3. An express train travels 100 kph from station A to station B. A local train travelling at 45 kph, takes 45 minutes longer for the same trip. How far apart is station A from station B. Learnin Learning 4. The sum of two conseceutive even integers is less than 60 but greater than 24. L Find at least 3 pairs of numbers 5. The perimeter of the square is less than 152 m. Find the possible length of the sides of the square. Not pers up to VAV
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