how do you graph this inequality

Question

-3<x−1≤2

Answer 1

-3 < x−1 ≤ 2

 

Add 1 to each of the 3 parts:

 

-2 < x ≤ 3

 

<----O========@----->

      -2                   3

 

This is a single variable graph on a single number line. There is a open dot at -2 and a closed dot at 3.

 

I'm not sure what all the other discussion is about.

 

Simple problem, as I see it.

Answer 2

Hi Fanny;

BELOW, PLEASE FIND THE INSTRUCTIONS ON HOW TO GRAPH THIS.  IT WILL REQUIRE ONE VERTICAL DOTTED LINE AT -2=x AND ONE VERTICAL SOLID, NON-DOTTED LINE AT x=3, AND YOU WILL SHADE THE AREA BETWEEN.

-3<x−1≤2

I would separate this into two equations...

 

-3<x−1

-2<x

To graph this, you will draw a vertical, dotted line at x=-2.

 

x−1≤2

x≤3

To graph this, you will draw a vertical, solid, non-dotted line at x=3.

 

You will shade the area between such lines. 

 

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