- Writing, Graphing and Solving Inequalities
- Home
- Translating a Sentence by Using an Inequality Symbol
- Translating a Sentence into a One-Step Inequality
- Introduction to Identifying Solutions to an Inequality
- Writing an Inequality for a Real-World Situation
- Graphing a Linear Inequality on the Number Line
- Writing an Inequality Given a Graph on the Number Line
- Identifying Solutions to a One-Step Linear Inequality
- Additive Property of Inequality with Whole Numbers
- Multiplicative Property of Inequality with Whole Numbers
- Solving a Two-Step Linear Inequality with Whole Numbers
- Solving a Word Problem Using a One-Step Linear Inequality

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Writing an Inequality for a Real-World Situation

There are many real-world situations, which we can reduce to inequalities and if needed, we solve them as well.

Shawna needs to buy some pencils and an eraser. She can spend no more than $9. The eraser costs $1 and the pencils cost $0.25 each. Let the number of pencils Shawna buys be p. Write an inequality for this situation.

### Solution

**Step 1:**

Given eraser cost = $1; pencil cost = $0.25

Amount paid = 0.25p + 1 ≤ 9

**Step 2:**

Inequality representing the above real-world situation is 0.25p + 1 ≤ 9

More than 370 students went on a field trip. Twelve buses were filled and 10 more students traveled in a car. Let s represent the number of students in each bus. Write an inequality for this situation.

### Solution

**Step 1:**

Number of buses = 12; Students in each bus = s; students in car = 10; Total students = 12s + 10 > 370

**Step 2:**

Inequality representing the above real-world situation is 12s + 10 > 370