Inequalities Words to Symbols

A minimum salary of $50,000

• s < 50,000

• s > 50,000

• s ≤ 50,000

• s ≥ 50,000

You need to save no less that $600

• s ≤ 600

• s < 600

• s ≥ 600

• s > 600

the doorway needs to be larger than 3 feet

• t >3

• t < 3

• t ≤ 3

• t ≥ 3

the kick needs to be longer than 60 feet

• t >60

• t < 60

• t ≤ 60

• t ≥ 60

What does this symbol represent?

• less than

• greater than

• less than or equal to

• greater than or equal to

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 plus $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450

• 0.85x + 375 < 450

• 0.85 + 375x > 450

• 0.85 + 375x < 450

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

• <

Martin earned $8.75 an hour plus another $18 in tips. Lawrence earned $9.25 an hour and spent $2 on a soda. Lawrence had more money than Martin. Write the inequality described in this word problem.

Mathematical Equivalence

ON

Aleris is sending a fancy organic fruit basket to her grandma for her birthday. Apples cost RM3 and oranges cost RM2. Aleris can spend no more than RM24 on the gift. Write an inequality that describes the situation. Let x = # of apples Let y = # of oranges

• 3x + 2y < 24

• 3x + 2y ≤ 24

• 3x + 2y > 24

• 3x + 2y ≥ 24