ENEQUALITIES

At Least

• <
• >
• ≤
• ≥

Which of the following mathematical expressions is written in standard form?

• 𝑥 < 𝑦 + 5

• 2𝑥 + 3𝑦 < 12

• 2𝑦 + 6 > 3𝑥

• 2𝑥 + 5 ≤ x – 3y – 7

Which of the following verbal phrases DOES NOT represent a linear inequality in two variables?

• “the number of students in the learning center is 20”

• “the number of students in the learning center is at most 20”

• “the number of students in the learning center is greater than 20”

• “the number of students in the learning center is less than or equal to 20”

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

• 4𝑎 – 3𝑏 > 5

• 7𝑐 + 4 < 12 − 3𝑐

• 3𝑥 ≤ 16 + 𝑥

• 11 + 2𝑡 ≥ 3𝑡 – 11

Which inequality represents “the sum of x and y is at most 15”?

• 𝑥 + 𝑦 ≥ 15

• 𝑥 + 𝑦 > 15

• 𝑥 + 𝑦 ≤ 15    

• 𝑥 + 𝑦 < 15

Which of the following inequalities is the same as “the sum of 2𝑥 and 𝑦 is at least 20”?

• 2𝑥 + 𝑦 ≥ 20

• 2 𝑥 + 𝑦 > 20

• 2𝑥 + 𝑦 ≤ 20

• 2𝑥 + 𝑦 < 20

Cardo is asked what inequality symbol to be used to translate at most in the mathematical sentence 5 times a number y plus 2 times a number x is at most 15. His answer is <. Is he correct?

• Yes, because the symbol for at most is <.

• Yes, because the symbol for at most is >.

• No, because the symbol for at most is ≥.

• No, because the symbol for at most is ≤.

Which of the following is NOT a symbol of linear inequality?

• =

• ≥

• ≠

• <

Which of the following verbal phrases DOES NOT represent a linear inequality in two variables?

• “the number of students in the learning center is 20”

• “the number of students in the learning center is at most 20”

• “the number of students in the learning center is greater than 20”

• “the number of students in the learning center is less than or equal to 20”

The following expressions are examples of linear inequalities in two variables EXCEPT:

• – 𝑥 > 2𝑦 + 7

• 9𝑥 + 3𝑦 ≥ 24

• 13𝑥 − 4𝑥 = 21

• 13𝑥 − 24𝑦 < 32