Writing Linear Inequalities

learning_notes

Last updated: 8/16/2025

Concepts Covered:

  • Inequality Symbols and Their Meanings: <, >, ≤, ≥ represent relationships like "less than," "greater than," "at most," and "at least."
  • Translating Words into Inequalities: Phrases like "no more than," "at least," "under," and "greater than" should be translated into appropriate mathematical expressions.
  • Strict vs. Non-Strict Inequalities: > and < mean values are not included, whereas ≥ and ≤ mean values are included.

Skills Covered:

  • Identify keywords in word problems and correctly translate them into inequalities.
  • Determine whether the inequality should be strict or non-strict based on the wording.

Example Problems:

  • A cleaning service can clean at most 10 houses per day. Write an inequality for the number of houses cleaned in a day.
  • A butterfly must have a body temperature of at least (30°C) to fly. Write an inequality for the butterfly’s temperature.

Features

  • Aris - 1on1 AI tutor
  • Skills Tree
  • Improvement analytics
  • Error-Hacking Vault
  • Special topics
logoAris Tutor

ArisTutor is powered by a group of standardized test prep experts from top-tier colleges who aspire to help more students get high-quality ACT, AP and SAT prep resources at a fraction of the cost of premium tutors.

SAT® and AP® are trademarks registered by the College Board, which is not affiliated with, and does not endorse, this product.
ACT® is a trademark registered by the ACT, Inc, which is not affiliated with, and does not endorse, this product.