One Step Inequalities
Multi-Step Inequalities
Interpret the Solution
100

7 - x < 4

What is x > 3

100

2x + 5 > 15

What is x > 5

100

"You have $23 saved already, and make $10 a day shoveling snow. You are working towards saving up at least $58. How many days do you need to work?

Define an appropriate variable for this situation.

d = number of days

200

5x > 25

What is x > 5

200

x/6 + 3 < 6

What is x < 18

200

"The bus starts with 11 students and 2 students get on the bus at each stop.  The bus can fit no more than 58 students." How many stops can the bus make?

Define an appropriate variable for this situation.

s = stops

300

20 ≥  4x

What is x ≥  5

300

3x + 7 ≥  19

What is x ≥ 4

300

A restaurant wrote an inequality to determine the number of ketchup bottles to order. How many bottles of ketchup can you order? When solved, they determined the answer was:  k ≥ 42.78

Interpret the solution in the context of the problem.

They should order at least 43 bottle of ketchup.

400

20 - x < 13

What is x > 7

400

4h + 4 < 6h -2

h > 3  

400

The airline company wrote an inequality to determine the number of miles a plane could fly before running out of fuel. How many miles can the plane fly? When solved, they determined the answer was:  m ≤ 1,231.49

Interpret the solution in the context of the problem.

The plane can fly between 0 and 1,231 miles.

500

-15x ≤ 75

What is x ≥ -5

500

2(4r + 2) < 9r + 2 

r > 2

500

A vending machine company is trying to determine how many drinks need to be loaded into the vending machine to last for the week. When solved, they determined the answer was:  d > 66.351

Interpret the solution in the context of the problem.

The number of drinks they need to load is more than 66.

or

The number of drinks they need to load is at least 67.

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