7.03 Systems of LInear Inequalities Quiz

Question 1

1. Which of the following is a solution to the following system of inequalities?
   

   		(1, 1)
   		(-4, 0)
   		(3, 2)
   		(5, 0)

2 points

Question 2

1. One possible solution to the system of inequalities is (3, -1).
   

   		TRUE
   		FALSE

2 points

Question 3

1. One possible solution to the system of inequalities is (-3, 0).
   

   		TRUE
   		FALSE

2 points

Question 4

1. What is the system of equations that describes the following graph?
   

   		–x + y < 1; x > 3
   		–x + y ≤ 1; x ≥ 3
   		–x + y ≥1; x ≥ 3
   		–x + y ≤ 1; x ≤ 3

2 points

Question 5

1. What is the system of equations that describes the following graph?
   

   		2x + y < 3; x + y ≤ 5
   		2x + y > 3; x + y ≥ 5
   		2x + y ≥ 3; x + y < 5
   		2x + y > 3; x + y ≤ 5

2 points

Question 6

1. What is the system of equations that describes the following graph?
   

   		4x + y ≥ 2; x + 3y ≥ 1
   		4x + y ≤ 2; x + 3y ≥ 1
   		4x + y ≤ 2; x + 3y ≤ 1
   		4x + y < 2; x + 3y > 1

2 points

Question 7

1. What is the system of equations that describes the following graph?
   

   		y ≥ 0; x ≤ 3
   		x > 0; y < 3
   		x ≥ 0; y ≤ 3
   		x ≤ 0; y ≥ 3

2 points

Question 8

1. What is the system of equations that describes the following graph?
   

   		x ≤ -3; y ≥ 0; x ≤ 4
   		y ≤ -3; x ≥ 0; y ≤ 4
   		x ≤ -3; y ≥ 0; y ≤ 4
   		x < -3; y > 0; x < 4

2 points

Question 9

1. What is the system of equations that describes the following graph?
   

   		x + y < 3; x – y > -2; y ≥ 0
   		x + y > 3; x – y < -2; x ≥ 0
   		x + y < 3; x – y > -2; y ≤ 0
   		x + y < 3; x – y > -2; x ≥ 0

2 points

Question 10

1. Which of the following is the correct solution to x ≥ 2?y < 5