1. 5 – Systems of Inequalities (No Calculator)
Inequality Investigations
5 – Systems of Inequalities (No Calculator)

2. A B
Identify, by letter (A, B, or C) the
line affiliated with each inequality above C

3. A B C c b
Place an a in each region which is part of the solution of A. c a c c b
Place a b in each region which is part of the solution of B. a b a a
Place a c in each region which is part of the solution of C. b

4. A B C c b c a c
The region(s) common to all inequalities is the solution to the system of inequalities. c a b b a a b

5. A B C
The region(s) common to all inequalities is the solution to the system of inequalities. X
In this course, we will mark the region(s) which are part of the solution with an X.

6. A B C
Select all that apply – Which of the following points (c, l) are solutions to the system of inequalities above?
(200, 400) B. (600, 310)
(600, 400) D. (800, 250)
E. (550, 350) F. (550, 400) X

7. 1. Place an X in each region(s) which is/are part of the solution to the system of inequalities below:
Select all that apply – Which of the following points (c, b) are solutions to the system of inequalities above?
(50, 5) B. (50, 20)
(20, 10) D. (10, 20)
E. (70, 2) F. (70, 10) X

8. 2. Place an X in each region(s) which is/are part of the solution to the system of inequalities below:
Select all that apply – Which of the following points (t, c) are solutions to the system of inequalities above?
(50, 100) B. (50, 20)
(300, 100) D. (300, 200)
E. (400, 300) F. (400, 400) X

9. 3. Place an X in each region(s) which is/are part of the solution to the system of inequalities below:
Select all that apply – Which of the following points (J, T) are solutions to the system of inequalities above?
(50, 20) B. (50, 120)
(50, 160) D. (120, 10)
E. (120, 25) F. (120, 60) X

10. 4. Place an X in each region(s) which is/are part of the solution to the system of inequalities below:
Select all that apply – Which of the following points (c, S) are solutions to the system of inequalities above?
(20, 400) B. (20, 500)
(100, 500) D. (100, 600)
E. (90, 500) F. (90, 600) X

11. 5. Place an X in each region(s) which is/are part of the solution to the system of inequalities below:
Select all that apply – Which of the following points (t, c) are solutions to the system of inequalities above?
(150, 50) B. (350, 50)
(50, 150) D. (300, 100)
E. (250, 200) F. (250, 150) X

12. 6. Place an X in each region(s) which is/are part of the solution to the system of inequalities below: X
Select all that apply – Which of the following points (p, g) are solutions to the system of inequalities above?
(10, 15) B. (15, 8)
(10, 10) D. (15, 10)
E. (10, 5) F. (5, 12)

13. 7. Place an X in each region(s) which is/are part of the solution to the system of inequalities below:
Select all that apply – Which of the following points (c, d) are solutions to the system of inequalities above?
(200, 1400) B. (200, 2000)
(1600, 200) D. (1600, 600)
E. (1200, 800) F. (1200, 900) X