Half Planes and Linear Inequalities

Which of the following ordered pairs is a solution of the inequality 2x + 6y ≤ 10?

• (3, 1)

• (2, 2)

• (1, 2)

• (1, 0)

The difference between the scores of Connie and Minnie in the test is not more than six points. Suppose Connie’s score is 32 points, what could be the score of Minnie?

• 26 to 38

• 38 and above

• 26 and below

• Between 26 and 38

Which of the following forms of linear inequality is not included

• Ax + By < C

• Ax + By ≤ C

• Ax + By > C

• Ax + By ≠ C

In the inequality c – 4d ≤ 10, what could be the possible value of d if c = 8?

• d ≤ -1/2

• d ≥ -1/ 2

• d ≤ 1/2

• d ≥ 1/2

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

• 4a – 3b = 5

• 3x ≤ 16

• 7c + 4 < 12

• 11 + 2t ≥ 3s11

What is the solution of 5𝑥 + 7 < 22?

• −4

• 3

• 4

• 10

Seven more than four times a number is less than six.

• 4𝑥 + 7 = 6

• 4𝑥 − 7 = 6

• 4𝑥 + 7 < 6

• 4𝑥 + 7 > 6

Mrs. Gregorio would like to minimize their monthly bills on electric and water consumption by observing some energy and water saving measures. Which of the following should she prepare to come up with these energy and water saving measures?

I. Budget Plan

II. Previous Electric and Water Bills

III. Current Electric Power and Water Consumption Rates

• I and II

• I and III

• II and III

• I, II, and III

3𝑛 < 52 is written as

• Fifty-two less than three times n

• Three times n is less than fifty-two

• Three times n is less than or equal to fifty-two

• Three times n is greater than fifty-two

The sum of three times x and eleven is greater than or equal to forty

• 3𝑥 + 11 ≥ 40

• 3𝑥 + 11 < 40

• 3𝑥 − 11 < 40

• 3𝑥 − 11 > 40