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Real-life scenarios
Which inequality?
What are the two operations needed?
Solve the inequality expression.
100

Jessica can only spend $100 on a meal out. She already spent 20 dollars on boba while waiting for her table.  Her 2 friends finally showed up and she decided to spend the exact amount on each person.  How much maximum can she spend on each person.

Jessica can spend $26.67 on each person.

100

...they can spend up to $200 on comics.

200 ≥

100

3x + 6 ≤ 24

1.  The first step is to subtract 6.

2.  The second step is divide by 3.

100

2y + 1 ≤ 7

y ≤ 3

200

More than 450 students went on a field trip. Ten buses were filled and 5 more students traveled in a car.  How many students minimum are on each bus?


There are 45 people minimum on each bus.
200

....her mom wants her to spend minimum $100 so she can get the student discount. 

≥100

200

15x + 60 < 120 

1.  The first step is to subract 60 from both sides.

2.  The second step is to divide by 15.

200

12 > 2y+7

2.5 > y

300

Leo is saving $5 each week. He earns an extra $15 by mowing his neighbor's lawn. How many weeks will he need to save in order to have at least $75?


He will need to save 12 weeks minimum to have $75.

300

...their boss wants to spend exactly $1000 for the event to go well.

= $1000

300

200x - 100 = 300

1.  The first step is to add 100.

2.  The second step is to divide 200.

300

(x−3)/2 < −5

x < −7

400

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride.  How many miles can she travel max can she travel?

Katie can travel 12 miles or less before reaching her limit of $10.

400

....the producers are only giving them $10,000 to spend on the various sets.

10,000≤

400

-10 + 1/2x < 40

1.  The first step is to add 10.

2.  The secon step is to multiply each side by 2/1/.

400

4 + (2/3)y = 10

y = 9

500

Amanda rented a bike from Shawna's Bikes. They charged her $2 per hour, plus a $10 fee. Amanda paid less than $27.  How many hours can she spend max renting a bike?


She can spend max 8.5 hours renting the bike.

500

...the team is only giving 6 options for stores due to discounts for the amount of stores.

≤ 6

500

-73 - 1/7x = 70

1.  The first step is to add 73 to both sides.

2.  The second step is to multiply by - 7/1 to both sides.

500

7x+3-5x < 5x+9-5x

x < 3