find and graph the solution set of this inequality

Question

-3<x-1≤2

i solved ......

-3<x-1

-2<x

and .......

x-1≤2

x≤3

but how do i graph this???? please help 

Answer 1

So once you solve the inequality you have...

 

-2<x</=3

 

this means that x is greater than negative 2 but less than or equal to 3.

 

To graph, you draw a number line, you can just put values ranging from -3 to 4. Now you draw a line segment on the number line which satisfies the conditions that make the inequality true. You would draw a line segment from -2 to 3 because they make the inequality true. However, since the solution set does not contain -2 it has an open circle on top and 3 has a closed circle on top because it is included.