Problem preview
A-CED.3 Warmup M1-003-A09-V01

Represent constraints with equations, inequalities, and systems; interpret viable and non-viable solutions in context.

Translate a graph region description into inequalities

Problem

Express the region in the first quadrant on or below \(y~=~-2x~+~8\) as a system of inequalities.

Big Picture

What this problem is really about

The region is determined by three boundaries that must be translated together. We’ll turn the first-quadrant description into restrictions on both coordinates, keep the descending line as the third boundary, and use “on or below” to set its inclusive direction. A test point in the shaded triangle will verify that all three inequalities face the correct way.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
A-CED.3
Category
Algebra
Domain
Creating Equations
Objective
Represent constraints with equations, inequalities, and systems; interpret viable and non-viable solutions in context.
Problem type
Translate a graph region description into inequalities