Linear Inequalities

What is the solution set for the system of linear inequalities shown?

• 
• 
• 
• 

The maximum seating capacity of a school theater is 750 people. The upper level holds 75 people. The lower level has 15 sections that can seat the same unknown number of people in each section. How many people can be seated in each section on the lower level?

Inequality: 75 + 15p ≤ 750

• p ≤ 9.8 people

• p ≤ 45 people

• p ≤ 55 people

• p ≤ 10.2 people

A blue drone is 100 feet of the ground and rising at a rate of 8 feet per second. An orange drone is 160 feet off the ground and rising at a rate of 5 feet per second. Which inequality can be used to determine how long until the blue drone be higher than the orange drone?

• 100 + 8x < 160 + 5x

• 100 + 8x > 160 + 5x

• 100x + 8 < 160x + 5

• 100 - 8x > 160 - 5x

Ruby set a goal of saving at least $200 in a savings account.<\/p>

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?<\/p>

<\/p>

Solve the inequality/answer the question.<\/em><\/p>

• x ≥ 28<\/p>

• x ≤ 28<\/p>

• x > 28<\/p>

• x < 28<\/p>

Lawrence’s father gave him 200 baseball cards. Each week, Lawrence purchases 25 baseball cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection?

Jillian needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car? Write the inequality to the problem.

• 50x+1/2 ≥ 4800

• 1/2x+50 ≤ 4800

• 50x+2400 ≥ 4800

• 50x+2400 ≤ 4800

Mathematical Equivalence

ON

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones?

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

The total amount Cora paid for two kilos of beef and three kilos of fish is less than Php 700. Suppose a kilo of beef costs Php 250. What could be the maximum cost of a kilo of fish to the nearest pesos?

• Php 60

• Php 65

• Php 66

• Php 67