Linear Inequalities Word Terminology

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

The Bombetta Company wants to send a team of three representatives to a conference.  Their budget is $700.00 plus $125.00 per day for expenses.  If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

• 125x + 700 ≥1,400

• 700 + 125x ≤1,400

• 700x + 125 ≤1,400

• 125x - 700 ≤ 1,400

At the Big Bear video rental store, blank CDs cost $1.50 each and blank DVDs cost $3.25 each.  Which of the following statements best describes the number of CDs (c) and DVDs (d) that can be purchased for less than $65.00?

• 150c + 325d < 6,500

• 325c + 150d <6,500

• 150c + 325d ≤ 6,500

• 325c + 150d ≤ 6,500

Jacob has x $5 bills and y $50 bills in his wallet. The total value of the bills is no more than $350. Create an inequality that models this situation. ( start with x )

• 5x

• 50y

• 350

• 50x

• 5y

• <

A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.

Write an inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab?

Use Standard Form.

Must include x and y,

Use an inequality sign.

Mathematical Equivalence

ON

A donut shop charges $0.70 for each donut and $0.30 for a carryout box.  Shirley has $5.00 to spend.  She needs to determine the most donuts (x) she can buy when she only puts them in one carryout box.  Which equation can be used to answer this problem?

• 70x + 30 < 500

• 30x + 70 < 500

• 70x + 30 ≤500

• 30x + 70 ≤ 500

greater than less than less than or equal to greater than or equal to

• greater than

• less than

• less than or equal to

• greater than or equal to

Q1. What is the comparison operator for greater than?

• greater than

• less than

• less than or equal to

• greater than or equal to

greater than less than less than or equal to greater than or equal to

• greater than

• less than

• less than or equal to

• greater than or equal to

Q1. What is the comparison operator for greater than?

• greater than

• less than

• less than or equal to

• greater than or equal to