Graphing Linear Inequalities and Tables

Which of the following inequality has (5, 1) as a solution?

• 3𝑥 + 𝑦 ≤ 3

• 3𝑥 – 𝑦 ≤ 3

• 3𝑥 – 𝑦 < 15

• 3𝑥 + 𝑦 < 15

Which of the following statements is true?

• The overlapping region of the graph of system of linear inequalities is the

  solution of the system.

• The non - overlapping region of the graph of system of linear inequalities

  is the solution of the system.

• The graph of the system do not overlap.

• None of the above

Which of the following is a system of linear inequalities in two variables?

• 2x-7y=8

• 3x + 5y = -2

  x – 4y = 9

• x + 9y ≥ 2

  2x – 3y > 12

• 4x + 1 = 8

  3y – 7 = 11

What do you call with the point used to determine the area to be shaded in graphing an inequality?

• Point of origin

• Point of intersection

• Test point

• Reference point

Mr. Sison wants to buy more than a total of 5 kilograms of pork and chicken for his family consumption but can spend a maximum of Php 1,000.00. A kilogram of pork (x) and fish (y) cost Php 200.00 and Php 100.00, respectively. Which of the following systems of linear inequalities shows the given situation?

• 𝑥 + 𝑦 < 5

  200𝑥 + 100𝑦 < 1000

• 𝑥 + 𝑦 > 5

  200𝑥 + 100𝑦 > 1000

• 𝑥 + 𝑦 > 5

  200𝑥 + 100𝑦 ≤ 1000

• 𝑥 + 𝑦 > 5

  200𝑥 + 100𝑦 ≥ 1000

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Which of the following is a linear inequality in two variables?

• 𝑥 + 𝑦 = 2

• 𝑥 + 5 > 8

• 3𝑚 + 5𝑛 < 10

• 3𝑞 – 2𝑞 ≠ 6

For what possible values of 𝑥 and 𝑦 will make the inequality 5𝑥 + 3𝑦 > 12 true?

• ( 0, 3 )

• ( 3, -1 )

• ( 1, 1 )

• ( 3, 0 )

Which of the following shows a graph of a system of linear inequalities in two variables?

• 
• 
• 
• 

Graph the system of inequalities.

• A

• B

• C

• D