Problem preview
A-REI.12 Warmup M1-008-A06-V01

Graph linear inequalities and systems of linear inequalities as half-plane solution regions.

Write inequalities from a graphed region

Problem

Analyze the boundary lines and overlapping shading in the graph below, then write the system of inequalities represented by the region.

Big Picture

What this problem is really about

A shaded graph encodes three pieces for each inequality: the boundary equation, whether the boundary is included, and which side is allowed. We’ll read the slanted and horizontal boundaries separately, use solid versus dashed styling to set strictness, and use the shaded overlap to determine each direction. A point inside the overlap will verify the recovered system.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
A-REI.12
Category
Algebra
Domain
Reasoning with Equations and Inequalities
Objective
Graph linear inequalities and systems of linear inequalities as half-plane solution regions.
Problem type
Write inequalities from a graphed region