Linear Inequality in Two Variables

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)

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

Juan was given 20.00 pesos to buy chocolates (x) that cost 3 pesos each, and candies (y) that cost 2 pesos each, if Juan will buy, 5 chocolates, how many candies (y) can he possible buy with the remaining money?

• y < 2; less than two candies

• y ≤ 2; at most two candies

• y > 2; more than two candies

• y ≥ 2; at least to candies

The difference in Gab (x) and Liam’s (y) weight is at least 5 kg. Which of the following correctly represents this situation?

• x - y ≥ 5

• x - y ≤ 5

• x - y > 5

• x - y < 5

The difference in Gab (x) and Liam’s (y) weight is at least 5 kg. If the weight of Liam (y) is 40 kg, what could be the weight of Gab?

• x < 45; Gab is less than 45 kg

• x ≤ 45; Gab is at most 45 kg

• x > 45; Gab is more than 45 kg

• x ≥ 45; Gab is at least 45 kg

Which of the following is the correct representation of “the difference between x and y is greater than 25?

• x - y < 25

• x - y > 25

• x - y ≤ 25

• x - y ≥ 25

The total amount of your electric (x) and water (y) bill is at most 3000 pesos.

Which of the following correctly represents this situation?

• x + y ≥ 3000

• x + y ≤ 3000

• x + y > 3000

• x + y < 3000

The total amount of your electric (x) and water (y) bill is at most 3000 pesos, If your electric bill (x) is 2200 pesos, what could be the cost of your water bill (y)?

• y < 800; The water bill is less than 800 pesos

• y > 800; The water bill is more than 800 pesos

• y ≤ 800; The water bill is at most 800 pesos

• y ≥ 800; The water bill is at least 800 pesos