x+y23 0 +023 028 False x+ ys-4 a Test the point (0,0) on the first inequality 0+0s-4 0s-4 False . Test the point (0,0) on the first second inequality . Combine the graphs on one coordinate plane. x+y23 (0.0) x +ys-4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.6: Systems Of Inequalities
Problem 48PFA
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x + y 23
x + ys-4
0+023
028
False
a. Test the point (0,0) on the first inequality
0+0S-4
0S-4
False
b. Test the point (0,0) on the first second inequality
c. Combine the graphs on one coordinate plane.
x+y23
(0.0)
x+ ys-4
Write a system of inequalities to describe the situation in each problem. Graph the
system.
1. Alice can do two jobs with a maximum of 40 hours a week. She needs to make
$400 in order to cover her expenses. Her office job pays $12 an hour and her
babysitting job pays $10 an hour.
a. Write the inequalities to represent her jobs.
x + ys 40
12x + 10y 2 400
b. Graph the inequalities and shade the solution set.
12x+ 10y 2 400
Transcribed Image Text:x + y 23 x + ys-4 0+023 028 False a. Test the point (0,0) on the first inequality 0+0S-4 0S-4 False b. Test the point (0,0) on the first second inequality c. Combine the graphs on one coordinate plane. x+y23 (0.0) x+ ys-4 Write a system of inequalities to describe the situation in each problem. Graph the system. 1. Alice can do two jobs with a maximum of 40 hours a week. She needs to make $400 in order to cover her expenses. Her office job pays $12 an hour and her babysitting job pays $10 an hour. a. Write the inequalities to represent her jobs. x + ys 40 12x + 10y 2 400 b. Graph the inequalities and shade the solution set. 12x+ 10y 2 400
2. Timothy wants to rent a hall for an event. There is a maximum of 550 seats. Each
adult ticket will cost $125 and each child ticket will cost $75. The hall must make at
least $52,500 for the event.
a. Write a system of inequalities to represent
the problem.
b. Graph the inequalities and shade the solution set.
x+ ys 550
125x + 75y 2 52,500
400
300
200
100
00
200
-100
100
200
300
400
а3 АСTIVITY2
READ AND FOLLOW THE DIRECTIONS CAREFULLY.
Act 2.1: On your book, answer Accuracy page 176
Boys: items 5, 7, 9 only
Girls: items 6,8, 10 only
Act 2.2: Read and analyze the following problems carefully. Write the system of
inequalities to represent each problem. Show your complete working. (Use of any
graphing calculator is not allowed)
| 1. A clothing company has 500 yards of cotton to make shirts and pants. A shirt
requires 1 yard of fabric and a pair of pants requires 2 yards of fabric. It takes two
hours to make one shirt and three hours to make one pair of pants, and they have
1000 hours to make the clothing.
a. Write a system of inequalities to represent the problem.
b. Graph the inequalities and shade the solution set.
2. Allan can work a maximum of 40 hours a week. He needs to make $440 to cover
his expenses. His office job pays $12 an hour and his online selling job pays $10
an hour.
a. Write a system of inequalities to represent the problem.
b. Graph the inequalities and shade the solution set.
125x + 75y 2 52,500
Transcribed Image Text:2. Timothy wants to rent a hall for an event. There is a maximum of 550 seats. Each adult ticket will cost $125 and each child ticket will cost $75. The hall must make at least $52,500 for the event. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set. x+ ys 550 125x + 75y 2 52,500 400 300 200 100 00 200 -100 100 200 300 400 а3 АСTIVITY2 READ AND FOLLOW THE DIRECTIONS CAREFULLY. Act 2.1: On your book, answer Accuracy page 176 Boys: items 5, 7, 9 only Girls: items 6,8, 10 only Act 2.2: Read and analyze the following problems carefully. Write the system of inequalities to represent each problem. Show your complete working. (Use of any graphing calculator is not allowed) | 1. A clothing company has 500 yards of cotton to make shirts and pants. A shirt requires 1 yard of fabric and a pair of pants requires 2 yards of fabric. It takes two hours to make one shirt and three hours to make one pair of pants, and they have 1000 hours to make the clothing. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set. 2. Allan can work a maximum of 40 hours a week. He needs to make $440 to cover his expenses. His office job pays $12 an hour and his online selling job pays $10 an hour. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set. 125x + 75y 2 52,500
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