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A-CED.1 Warmup M2-002-A04-V02

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 temperature is \(\text{more}~\text{than}~4^{\circ}\) away from \(32^{\circ}\). Let \(T\) represent the temperature. Use the displayed number line to write and solve an absolute-value inequality for \(T\).

A one-degree number line centered at target 32 degrees. Two purple question-mark markers sit exactly four tick intervals below and above 32, representing boundary temperatures 4 degrees from the target.
Two unknown boundary temperatures are each 4 degrees from target 32 degrees.
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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