Solving Problems Involving Systems of Linear Inequalities in Two Variables

The sum of two positive numbers, x and y, is at most 10. Their difference is more than 1. Which of the following is the correct representation of the given situation?

Among the choices, which of these graph would be the correct answer?

• 
• 
• 
• 

Which of the following ordered pairs is a solution of the system

x + y ≤ 10

x - y > 1

• (6,4)

• (5,4)

• (6,5)

• (5,5)

Which of the following is a solution of the system

x + y > 5

x + 2y < -3

• (2,3)

• (14,8)

• (8,-6)

• (-2,3)

Base on the graph, which of the following is NOT a solution of the system of linear inequalities?

• (2,0)

• (4,2)

• (1,6)

• (6,4)

The sum of two positive numbers, x and y, is more than 10. Their difference is at most 1. Which of the following is the correct representation of the given situation?

• x + y > 10

  x - y ≥ 1

• x + y > 10

  x - y ≤ 1

• x - y ≤ 10

  x + y > 1

• x + y ≥ 10

  x - y > 1

The sum of two positive numbers, x and y, is more than 10. Their difference is at most 1. Which of the following is the correct representation of the given situation?

Which of the following shows the graph?

• 
• 
• 
• 

Which of the following ordered pair is NOT a solution of the system

The sum of two positive numbers, x and y, is more than 10. Their difference is at most 1. Which of the following is the correct representation of the given situation?

• (3,7)

• (9,8)

• (8,7)

• (5,9)

Which of the following is a solution of the system

4x - y > 5

2x + y ≤ -3

• (2,3)

• (1,-2)

• (1,-5)

• (0,-5)

Base on the graph, which of the following is NOT a solution

of the system of linear inequalities?

• (2,0)

• (2,2)

• (1,5)

• (0,6)

The sum of two positive numbers, x and y, is at most 10. Their difference is more than 1. Which of the following is the correct representation of the given situation?

• x - y ≥ 10

  x + y < 1

• x + y ≥ 10

  x - y < 1

• x - y ≤ 10

  x + y > 1

• x + y ≤ 10

  x - y > 1