Writing inequalities

Math

Definition

Writing inequalities means translating a real-world situation or verbal description into a mathematical statement using inequality symbols (<, >, ≤, ≥). Key phrases like 'at most,' 'at least,' 'fewer than,' and 'more than' signal which symbol to use.

Examples

  • 'You must be at least 16 to drive' becomes a ≥ 16
  • 'The bag can hold no more than 50 pounds' becomes w ≤ 50
  • 'She needs more than $200 to buy the phone' becomes m > 200
Key Fact

'At least' → ≥, 'at most' → ≤, 'more than' → >, 'fewer than' → <

Related Terms

Solving inequalities Compound inequalities Graphing inequalities Variables and expressions

Study This Concept

Practice writing inequalities with free review games in these units:

Pre-Algebra Unit 7: Inequalities