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A-CED.1 Warmup M2-002-A04-V04

Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.

Create and solve an absolute-value inequality from a distance-from-target statement

Problem

A reading is acceptable when it is \(\text{at}~\text{least}~5~\text{units}\) from target reading \(30\). Let \(r\) represent the reading. Use the displayed number line to write and solve an absolute-value inequality for \(r\).

A one-unit number line centered at target reading 30. Two purple question-mark markers sit exactly five tick intervals to the left and right of 30, representing a distance of 5 units.
Two unknown boundary readings are each 5 units from target reading 30.
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
A-CED.1
Category
Algebra
Domain
Creating Equations
Objective
Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.
Problem type
Create and solve an absolute-value inequality from a distance-from-target statement