Graphing Systems of Linear Inequalities

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Objective

I can graph two or more linear inequalities on the same coordinate plane and identify the solution set.

Part 1 of 4

Warm-up video

Kayla Jones · 2:58

We don't generate video — this one is by Kayla Jones on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    When graphing systems of inequalities, graph each inequality on the same graph.

  2. 2

    A solid line is used when the inequality includes "or equal to," while a dashed line is used when it does not.

  3. 3

    The solution to a system of inequalities is the area where the shading of all inequalities intersect.

Part 3 of 4

Practice

11 questions

1

What is the main difference between graphing a single linear inequality and a system of linear inequalities?

2

When graphing a system of inequalities, how do you identify the solution set?

Part 4 of 4

Exit ticket

Quick comprehension check

Graph the following system of inequalities on the same coordinate plane: y ≥ x + 1 and y < -2x - 1. Clearly indicate the region that represents the solution set for the system.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

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