QuickHelper

(10)

$20/per page/

About QuickHelper

Levels Tought:
Elementary,High School,College,University,PHD

Expertise:
Accounting,Applied Sciences See all
Accounting,Applied Sciences,Business & Finance,Chemistry,Engineering,Health & Medical Hide all
Teaching Since: May 2017
Last Sign in: 352 Weeks Ago, 4 Days Ago
Questions Answered: 20103
Tutorials Posted: 20155

Education

  • MBA, PHD
    Phoniex
    Jul-2007 - Jun-2012

Experience

  • Corportae Manager
    ChevronTexaco Corporation
    Feb-2009 - Nov-2016

Category > Engineering Posted 18 Aug 2017 My Price 15.00

Systems of Linear Inequalities

Showing work is not required

 

Instructor

 

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

Total

 Points

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

100G101010 pointsG

 Score

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                Textbook Reading Assignment

 

Read the chapter section on Systems of Linear Inequalities in the course textbook. 

 

Systems of Linear Inequalities

 

            Select the correct answer.

                       

(1)       The point ( 3 , 1 ) lies within the region defined by the 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  ≥  5 x  +  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  >  2 x  +  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 region formed 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 )

 

 

 

 

(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  <  m x  +  b               (b)     y  ≤  m x  +  b

 

            (c)        y  >  m x  +  b               (d)     y  ≥  m x  +  b

 

(14)     If m  is negative and b  is and positive, then one of the two linear inequalities is of the         form __________ .

 

            (a)        y  <  m x  +  b               (b)     y  ≤  m x  +  b

 

            (c)        y  >  m x  +  b               (d)     y  ≥  m x  +  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          

 

 

(16)     The graph of this system of inequalities includes the reference line __________ .   

 

            (a)        y  =  ( 4 / 9 ) x  −  ( 4 / 7 )           (b)     y  =  − ( 7 / 4 ) x  +  ( 9 / 4 )

 

            (c)        y  =  ( 4 / 9 ) x  +  ( 7 / 4 )           (d)     y  =  − ( 7 / 4 ) x  −  ( 9 / 4 )

 

(17)     One form of a solution to this system of inequalities is __________ .          

 

            (a)        x  ≥  12 / 25 , y  ≥  ( 1 / 3 ) x  +  ( 5 / 4 )  

            (b)        x  ≥  25 / 12 , y  >  ( 1 / 3 ) x  −  ( 5 / 4 )

            (c)        x  ≥  12 / 25 , y  >  ( 1 / 3 ) x  +  ( 5 / 4 )  

            (d)        x  ≥  12 / 25 , y  <  ( 2 / 3 ) x  +  ( 5 / 4 )
            (e)        x  ≤  25 / 12 , y  >  ( 1 / 3 ) x  +  ( 5 / 4 )

 

(18)     Another form of a solution to this system of inequalities is __________ .    

 

            (a)        x  ≥  12 / 25 , y  ≥  ( 1 / 3 ) x  −  ( 9 / 4 )  

            (b)        x  <  25 / 12 , y  >  ( 1 / 3 ) x  +  ( 5 / 4 )

            (c)        x  >  12 / 25 , y  >  ( 1 / 3 ) x  −  ( 9 / 4 )  

            (d)        x  ≥  12 / 25 , y  <  ( 1 / 3 ) x  +  ( 5 / 4 )
            (e)        x  <  12 / 25 , y  ≥  ( 9 / 4 ) x  −  ( 7 / 4 )

 

(19)     Which of these ordered pairs is included in the region formed by this system of       inequalities?

 

            (a)  ( 1 , − 2 )    (b)  ( 1 , 2 )       (c)  ( 2 , 1 )       (d)  ( 1 , − 3 )    (e)  ( 1 , 1 )

 

(20)     Which of these ordered pairs is NOT included in the region formed by this system of           inequalities?

 

            (a)  ( − 1 , 2 )    (b)  ( 1 , 2 )       (c)  ( 1 , 3 )       (d)  ( 1 , 4 )       (e)  ( 1 , 6 )

 

            For problems (21) through (25) , refer to the linear system of inequalities given below.

 

                        + 3 x  +  10 y  ≥  − 12

                       

                        + 4 x  −  7 y  <  9          

 

(21)     The graph of this system of inequalities includes the reference line __________ .   

 

            (a)        y  =  ( 3 / 10 ) x  −  ( 5 / 6 )         (b)     y  =  − ( 10 / 3 ) x  +  ( 9 / 4 )

 

            (c)        y  =  ( 4 / 7 ) x  +  ( 6 / 5 )           (d)     y  =  − ( 3 / 10 ) x  −  ( 6 / 5 )

 

(22)     One form of a solution to this system of inequalities is __________ .          

 

            (a)        x  ≥  6 / 61 , y  >  ( 4 / 7 ) x  −  ( 9 / 7 )   

            (b)        x  ≥  61 / 6 , y  >  ( 1 / 7 ) x  +  ( 9 / 7 )

            (c)        x  <  6 / 61 , y  >  ( 1 / 4 ) x  +  ( 5 / 9 )   

            (d)        x  <  6 / 61 , y  <  ( 7 / 4 ) x  −  ( 5 / 7 )
            (e)        x  ≤  6 / 61 , y  ≥  ( 4 / 7 ) x  +  ( 7 / 9 )

 

(23)     Another form of a solution to this system of inequalities is __________ .    

 

            (a)        x  ≥  6 / 61 , y  ≥  − ( 3 / 7 ) x  −  ( 6 / 5 )

            (b)        x  <  61 / 6 , y  >  ( 1 / 7 ) x  +  ( 5 / 6 )

            (c)        x  <  6 / 61 , y  ≥  ( 3 / 4 ) x  +  ( 5 / 9 )   

            (d)        x  ≤  6 / 61 , y  <  − ( 3 / 4 ) x  −  ( 5 / 7 )
            (e)        x  <  6 / 61 , y  ≥  − ( 3 / 10 ) x  −  ( 6 / 5 )

 

(24)     Which of these ordered pairs is included in the region formed by this system of       inequalities?

 

            (a)  ( 1 , − 2 )    (b)  ( 1 , 2 )       (c)  ( 1 , − 3 )    (d)  ( 1 , − 4 )    (e)  ( 1 , − 5 )

 

(25)     Which of these ordered pairs is NOT included in the region formed by this system of           inequalities?

 

            (a)  ( − 2 , 1 )    (b)  ( 1 , − 3 )    (c)  ( − 3 , 1 )    (d)  ( − 4 , 1 )    (e)  ( − 3 , 2 )   

 

 

 

 

 

Answers

QuickHelper
(10)
Status NEW Posted 18 Aug 2017 06:08 PM My Price 15.00

Hel-----------lo -----------Sir-----------/Ma-----------dam----------- T-----------han-----------k Y-----------ou -----------for----------- us-----------ing----------- ou-----------r w-----------ebs-----------ite----------- an-----------d a-----------cqu-----------isi-----------tio-----------n o-----------f m-----------y p-----------ost-----------ed -----------sol-----------uti-----------on.----------- Pl-----------eas-----------e p-----------ing----------- me----------- on----------- ch-----------at -----------I a-----------m o-----------nli-----------ne -----------or -----------inb-----------ox -----------me -----------a m-----------ess-----------age----------- I -----------wil-----------l

Not Rated(0)
Relevent Questions