---
title: "A.PAR.4: Linear Inequalities Systems (Georgia Mathematics standard)"
code: A.PAR.4
cite_as: Georgia Standards of Excellence, Mathematics, A.PAR.4
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/A.PAR.4
md_url: https://georgiahomeroom.org/standards/code/A.PAR.4.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/A.PAR.4.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# A.PAR.4: Linear Inequalities Systems

Create, analyze, and solve linear inequalities in two variables and systems of linear inequalities to model real-life phenomena.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- **A.PAR.4.1**: Create and solve linear inequalities in two variables to represent relationships between quantities including mathematically applicable situations; graph inequalities on coordinate axes with labels and scales.
- **A.PAR.4.2**: Represent constraints of linear inequalities and interpret data points as possible or not possible.
- **A.PAR.4.3**: Solve systems of linear inequalities by graphing, including systems representing a mathematically applicable situation.

## Georgia Milestones coverage

- Algebra I (EOC). Patterning & Algebraic Reasoning. Create, analyze, and solve linear inequalities in two variables and systems of linear inequalities to model real-life phenomena. (about 12% of the test; 7 points)

## What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

- **Beginning**: Identify a data point as a solution to a linear inequality in two variables.
- **Developing**: Identify the graph of a solution set to a linear inequality in two variables in relevant situations. Identify the solution to a system of linear inequalities by graphing in relevant situations.
- **Proficient**: Create the graph of a solution set to a linear inequality in two variables. Create linear inequalities in two variables to represent real-life situations. Identify the solution set for a linear inequality based on the context. Create a graph to solve a system of linear inequalities, and create systems of linear inequalities in two variables to represent real-life situations.
- **Distinguished**: Solve real-life problems involving inequalities in two variables by graphing and describe the solutions in context.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.