Problem preview

A-REI.3.1 Warmup M1-010-A05-V04

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

Graph an interval solution on a number line

Problem

Represent \(-4~\le~x~\le~2\) on the number-line scaffold below and in interval notation. State the endpoint types and shading.

Answer choices

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closed at -4, open at 2, shade between; [-4, 2)

closed at -4 and 2, shade outside; (-infinity, -4] union [2, infinity)

open at -4 and 2, shade between; (-4, 2)

closed at -4 and 2, shade between; [-4, 2]

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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: Graph an interval solution on a number line