Problem preview
A-REI.3.1 Warmup M1-010-A05-V01

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

Graph an interval solution on a number line

Problem

Represent \(-2~\le~x~<~5\) on the number-line scaffold below and in interval notation. State the endpoint types and shading.

Big Picture

What this problem is really about

A compound inequality specifies one bounded set, but its two endpoints can have different inclusion rules. We’ll read each comparison separately to assign an open or closed marker, then shade only the values satisfying both bounds. The same inclusion decisions translate directly to parentheses or brackets in interval notation, so the graph and notation should encode an identical set.

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
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
Graph an interval solution on a number line