Writing Linear Inequalities

• y  < -2/5x - 4 
• y  > -2/5x - 4 
• y  ≤ -2/5x - 4 
• y  ≥ -2/5x - 4 

• y < -3/4x - 2 
• y > -3/4x - 2 
• y ≤ -3/4x - 2 
• y ≥ -3/4x - 2 

• y < 2x - 5
• y > 2x - 5
• y ≤ 2x - 5
• y ≥ 2x - 5

Choose the inequality that best matches the graph.

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Maggie’s parents are booking a band and a DJ for a sweet 16, and wants to keep the cost of entertainment under $1,200. A band can play for part of the time at an hourly rate of $150, and a DJ can play for the remaining time at an hourly rate of $79. Write an inequality to describe the possible combinations of x band time and y DJ time?

• 150x + 79y < 1200

• 79x + 150y ≥ 1200

• 150x + 79y ≤ 1200

• 79x + 150y ≤ 1200

2 - A student is buying hot chips and sodas from the corner store. She can choose any combination of chips and sodas, and she does not want to spend more than $20. If hot chips cost $2.50 each and sodas costs $1.75 each, which inequality represents all possible combinations

of x hot chips and y sodas?

• A. 2.5x + 1.75y ≥ 20

• B. 2.5x + 1.75y ≤ 20

• C. 2.5x + 1.75y < 20

• D. 1.75x + 2.5y ≥ 20

Write an expression. 
Anita needs at least an 90 grade (g) on her test to get an A in math class.

• g ≤ 90

• g ≥ 90

• g < 90

• g > 90

Baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Ticket prices for the upper deck cost $31.50. Write an inequality that represents all possible combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800?

Robin earned $7.50 per hour plus $100 in tips waiting tables on Saturday. She earned a minimum of $160. Let x represent the number of hours Robin worked on Saturday. Select the inequality that describes this situation.

An Uber’s rates are $1.35 per mile plus an additional $2.50 base fee. You have a weekly budget represented by B(x). Which inequality can be used to represent the amount of money you can spend without going over your budget.

• B(x) ≤ 1.35x + 2.50

• B(x) ≥ 1.35x + 2.50

• B(x) < 1.35x + 2.50

• B(x) > 1.35x + 2.50