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Inequalities

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User Generated
Subject
Mathematics
Type
Homework
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MATH 140 College Algebra Assignment 15
Student Name
Mathexpert121@gmail.com
Section
1
Instructor
Watts app : +91 9644109597
Due Date
Exercise
1
3
6
8
9
10
12
14
16
19
22
25
Total
Points
4
4
4
4
4
4
4
4
4
4
4
4
100points
Score
Textbook Reading Assignment
Read the chapter section on Systems of Linear Inequalities in thecourse textbook.
Systems of Linear Inequalities
Select the correct answer.
(1) The point ( 3, 1 ) lies within the region defined bythe linear inequality.
y
>2
x
+ 7
(a) True (b) False
(2) The point ( 1, 3 ) lies within the region defined by the linear inequality.
y
2
x
7
(a) True (b) False
(3) The point ( −2, 1 ) does NOT lie within the region defined by this inequality.
y
>4
x
+ 5
(a) True (b) False
(4) The point ( −2, 3 ) does NOT lie within the region defined by this inequality.
y
4
x
+ 5
(a) True (b) False
(5) The graph of this linear inequality includes the reference line
y
=5
x
+ 9.
(a) y 5x + 9 (b)
y
< 5
x
+ 9
(c) 5
x
y
> 9 (d)
y
> 5
x
+ 9
(6) The graph of this linear inequality does NOT include the reference line
y
=2
x
+ 7 .
(a)
y
2
x
+ 7 (b)
y
2
x
+ 7
(c) 2
x
y
−7 (d) y > 2x + 7
(7) Which of these is equivalent to the given linear inequality? 9
x
+ 6
y
−0.75
(a) y (3/2)x 1/8 (b)
y
(3/2)
x
1/8
(c) 2
x
+6
y
−1 (d)
y
6
x
1
(8) Which of these is equivalent to the given linear inequality? 7
x
y
>11
(a)
y
<7
x
11 (b) 7
x
+
y
> 11
(c)
y
> 7
x
11 (d)
y
>−7
x
+ 11
(9) Which of these ordered pairs is included in the regionformed by this system of
inequalities?
−2
x
+1
y
<−3
+4
x
8
y
< 11
(a) ( 1 , −2 ) (b) ( 1 , 2 ) (c) ( 2 , −3 ) (d) ( 1 , −3 ) (e) ( 2 , 0 )

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MATH 140 College Algebra Assignment 15
Student Name
Mathexpert121@gmail.com
Section
2
(10) Which of these ordered pairs is included in the region formed by this system of
inequalities?
+2
x
+3
y
>−3
4
x
+6
y
< 9
(a) ( 1 , −2 ) (b) ( 1 , 2 ) (c) ( 2 , 1 ) (d) ( 1 , −3 ) (e) (−3 , −1 )
For problems (11) through (15), refer to the graph of two linear inequalities given
below.
(11) Which of these ordered pairs is included in the region formed by this system of
inequalities?
(a) ( 1 , 2 ) (b) ( 1 , −2 ) (c) ( 2 , 3 ) (d) (−3 , −3 ) (e) ( 1 , 1 )
(12) Which of these ordered pairs is NOT included in the region formed by this system of
inequalities?
(a) ( 1 , −4 ) (b) ( 1 , −2 ) (c) ( 2 , 3 ) (d) ( −3 , −6 ) (e) ( −3 , −8 )
(13) If
m
is positive and
b
is and negative, then one of the two linear inequalities is of the
form __________ .
(a)
y
<
mx
+
b
(b)
y
mx
+
b
(c)
y
>
mx
+
b
(d)
y
mx
+
b
(14) If
m
is negative and
b
is and positive, then one of the two linear inequalities is of the
form __________ .
(a)
y
<
mx
+
b
(b)
y
mx
+
b
(c)
y
>
mx
+
b
(d)
y
mx
+
b
(15) The point of intersection of the system is in Quadrant __________ .
(a) I (b) III
(c) II (d) IV
For problems (16) through (20), refer to the linear system of inequalities given below.
+4
x
12
y
<15
+7
x
+4
y
9

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Assignment 15 MATH 140 College Algebra Student Name Mathexpert121@gmail.com Section Instructor Watts app : +91 9644109597 Due Date Exercise 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Points Score 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Total 100points Textbook Reading Assignment Read the chapter section on Systems of Linear Inequalities in thecourse textbook. Systems of Linear Inequalities Select the correct answer. (1) The point ( 3, 1 ) lies within the region defined bythe linear inequality. (a) (2) (b) False The point ( 1, 3 ) lies within the region defined by the linear inequality. (a) (3) True True (b) y >2x + 7 y ≤2x− 7 False The point ( −2, 1 ) does NOT lie within the region defined by this inequality. y >4x + 5 (a) (4) True (b) False The point ( −2, −3 ) does NOT lie within the region defined by this inequality. y ≤ 4x + 5 (a) (5) (b) (d) y < 5x + 9 y > 5x + 9 y ≥ 2x + 7 2x−y ≤ −7 (b) (d) y ≤ 2x + 7 y > 2x + 7 y ≤ −(3/2)x− 1/8 (b) 2x+6y ≤ −1 (d) y 7x − 11 (b) (d) 9x+ 6y ≤ −0.75 y ≤ (3/2)x−1/8 y ≤ 6x− 1 Which of these is equivalent to th ...
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