Inequalities With Multiplication
5x < 50
5x < 50
÷5 ÷5
x < 10
Answer: x < 10
f/3 > 7
f/3 > 7
(3) (3)
f > 7
Answer: f > 7
Connor wants to buy several baseballs for the team. Each baseball costs 4 dollars. He has a budget of at most 100 dollars to spend on baseballs. How many baseballs can he buy.
4b < 100
÷4 ÷4
b < 25
Answer: b < 25
A large tub of ice cream is split into 4 equal containers. If each container must have no more than 20 ounces, how many total ounces were in the original tub?
s/4 < 20
(4) (4)
s < 80
Answer: s < 80
Steve wants to buy several cars for himself. Each car costs 10,000 dollars. He has a budget of at most 100,000 dollars. How many cars can Steve buy
e10,000 < 100,000
÷ 10,000 ÷ 10,000
e < 10
Answer: e < 10
10e > 60
10e > 60
÷10 ÷10
e > 6
Answer: e > 6
z/5 < 10
z/5 < 10
(5) (5)
z < 50
Answer: z < 50
Pablo wants to buy a lot of white t-shirts for himself. Each t-shirt cost 5 dollars. He has a budget of at most 35 dollars. How many t-shirts can Pablo buy?
5c < 35
÷5 ÷5
c < 7
Answer: c < 7
A large batch of pizza dough is split into 6 equal dough balls to make individual pizzas. If each dough ball must weigh no more than 14 ounces, what was the total weight of the original batch of dough?
x/6 < 14
(6). (6)
x < 84
Answer: x < 84
A teacher divides a large box of pencils among 22 students. If the teacher wants to ensure each student gets at least 3 pencils, what is the minimum number of pencils that must be in the box?
x/22 < 3
(22) (22)
x < 66
Answer: x < 66
50t < 100
50t < 100
÷50 ÷50
t < 2
Answer: t < 2
w/20 > 30
w/20 > 30
(20) (20)
w > 600
Answer: w > 600
Charles wants to buy several Lego sets for himself. Each costs 100 dollars. He has a budget of at most 1,000 dollars. How many Lego sets can Charles buy.
100e < 1,000
÷100 ÷100
e < 10
Answer: e < 10
A large batch of cookie dough is split into 12 equal dough balls to make individual cookies. If each dough ball must weigh no more than 4 ounces, what was the total weight of the original batch of cookie dough?
x/12 < 4
(12) (12)
x < 48
Answer: x < 48
Gail wants to buy several towels for her bathroom. Each towel costs 10 dollars. Her budget is at most 50 dollars. How many towels can she buy?
n10 < 50
÷ 10 ÷ 10
n < 5
Answer : n < 5
100r > 500
100r > 500
÷100 ÷100
r > 5
Answer: r > 5
q/50 < 100
q/50 < 100
(50) (50)
q < 5,000
Answer: q < 5,000
Paul wants to buy several packs of pencils. Each Pack cost 3.5 dollars. His budget is at most 50 dollars. How many packs of pencils can Paul buy?
3.5q < 50
÷3.5 ÷3.5
q < 14.28
Answer: q < 14
A large jug of lemonade is poured into 8 glasses. If each glass must contain fewer than 12 ounces to avoid spilling, what was the total volume of the lemonade in the jug?
s/8 < 12
(8). (8)
s < 96
Answer: s < 96
A group of friends is driving a long distance. They decide to split the total driving time into 4 equal shifts. To make sure nobody gets too tired, they agree that each shift must be no more than 3.5 hours.What is the maximum total time the entire road trip can take?
t/4 < 3.5
(4) (4)
t < 14
Answer: t < 14
g1,000 > 100,000
g1,000 > 100,000
÷1,000 ÷1,000
g > 100
Answer: g > 100
d/100 > 1,000
d/100 > 1,000
(100) (100)
d > 100,000
Answer: d > 100,000
City boy wants to buy several Guinea Pigs. Each Guinea Pig costs 35.3. At most he has 100 dollars. How many Guinea Pigs can city boy buy?
35.3k < 100
÷ 35.3 ÷35.3
k < 2.83
Answer: k < 2
You have a set of 5 identical levels to complete in a video game. If you want to spend no more than 25 minutes on each level, what is the maximum total time you can spend on the entire set?
y/5 < 25
(5) (5)
y < 125
Answer: y < 125
Jaxson wants to buy several soccer balls for the team. Each ball costs 15 dollars. At most He has 100 dollars. How many soccer balls can he buy for his team.
b15 < 100
÷ 15 ÷ 15
b < 6.6
Answer: b < 6