Solve the Inequality
x + 7 < 18
x < 11
A student has no more than $30 to spend on notebooks.
Each notebook costs $3.
Write an inequality to represent n, the number of notebooks the student can buy.
3n ≤ 30
A student already spent $12 and is buying stickers that cost $0.50 each.
0.50s + 12 ≤ 200
What does 12 represent?
The money already spent.
A student already has $12 saved. They earn $4 each time they mow a lawn.
They want to have at least $32.
What is the minimum number of lawns they must mow?
4x+12≥32
✔ Minimum = 5 lawns
x < 6
✅ Answer:
Open circle at 6
Shade left
4x − 5 ≥ 19
x ≥ 6
A movie theater charges $8 per ticket.
A group wants to spend at most $56 on tickets.
Write an inequality to represent t, the number of tickets they can buy.
8t ≤ 56
A delivery truck can carry no more than 1,000 pounds.
50b + 200 ≤ 1000
What does 1000 represent?
The maximum weight the truck can carry.
A concert venue can hold no more than 300 people.
There are already 75 people inside.
Groups of 15 people continue entering.
What is the greatest number of groups that can still enter?
15g+75≤300
✔ Greatest number of groups = 15
x ≥ 4
✅ Answer:
Closed circle at 4
Shade right
6x + 9 < 3
x < -1
A club collected $45 already for a fundraiser.
Each student will donate $5.
They want to raise at least $100.
Write an inequality to represent s, the number of students donating.
5s + 45 ≥ 100
A student wants to earn at least $80 mowing lawns.
20x ≥ 80
Why did they use the ≥ symbol?
The student must earn $80 or more.
A student has $25.
They want to buy notebooks that cost $3 each.
What is the greatest number of notebooks they can buy?
3n≤25n≤8.33
n≤8.33
✔ Answer: 8 notebooks
2x + 3 < 11
✅ Graph:
Open circle at 4
Shade left
−3x + 12 ≤ 0
x ≥ 4
A delivery truck can carry no more than 2,000 pounds.
The driver already loaded 650 pounds of supplies.
Each crate weighs 75 pounds.
Write an inequality to represent c, the number of crates that can still be loaded.
75c + 650 ≤ 2000
A movie theater charges $8 per ticket.
8t ≤ 40
What does t represent?
The number of tickets.
A club is trying to raise at least $200.
They already raised $65.
Each student donates $7.
What is the minimum number of students needed?
7s+65≥200
7s≥135
s≥19.29
✔ Answer: 20 students
5x − 10 ≥ 15
✅ Graph:
Closed circle at 5
Shade right
-2(3x−4) > 20
x < -2
A student has $60 to spend on a poster and stickers.
The poster costs $12.
Each sticker costs $0.75.
Write an inequality to represent s, the number of stickers the student can buy.
0.75s + 12 ≤ 600
A student is buying markers that cost $3 each.
3m ≤ 18
What does 3m represent?
The total cost of the markers.
A student has $40 to spend on a poster and stickers.
The poster costs $12.
Each sticker costs $0.75.
What is the greatest number of stickers the student can buy?
0.75s+12≤40
.75s≤28
s≤37.33
✔ Answer: 37 stickers
−3(2x+4) ≤ −18
x≥1
✅ Graph
Closed circle at 1
Shade to the right