Problem preview
A-REI.3.1 Warmup M1-010-A06-V01

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

Interpret an absolute-value statement in context

Problem

For room temperature \(|T-72|\le~3\), identify target, allowed-distance relation, solution interval, and unit.

Big Picture

What this problem is really about

In context, the expression inside absolute value compares an actual measurement with its target, and the bars turn that difference into distance. We’ll identify the center, read the comparison as a limit on allowable distance, and move that tolerance equally below and above the target. The comparison’s equality bar determines endpoint inclusion, while the contextual unit must stay attached to the resulting interval.

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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
Interpret an absolute-value statement in context