Problem preview
A-REI.3.1 Warmup M1-010-A12-V01

Solve and graph one-variable absolute-value equations and inequalities; interpret solutions in context.

Choose an absolute-value statement from a number-line graph

Problem

Analyze the center, radius, and endpoint inclusion in the number-line graph below, then write the corresponding absolute-value statement.

Big Picture

What this problem is really about

A symmetric number-line interval can be rewritten as a distance condition. We’ll average the two endpoints to find the center, measure from that midpoint to either endpoint for the radius, and use inside versus outside shading to set the comparison direction. Finally, the endpoint markers tell whether equality belongs in the absolute-value statement.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
A-REI.3.1
Category
Algebra
Domain
Reasoning with Equations and Inequalities
Objective
Solve and graph one-variable absolute-value equations and inequalities; interpret solutions in context.
Problem type
Choose an absolute-value statement from a number-line graph