Question 361651
Well, in order to graph absolute value you typically need 2 points to graph, you would do this by using a COMPOUND SENTENCE. For the first one:

x + 5 = 4 OR x + 5 = -4

next solve these.

x= -1 OR x= -9

Check these numbers.

-1 + 5= 4...correct

-9 + 5 = -4...correct

To graph this absolute value is very simple because you have an equal sign and are using the word OR (as in only 2 possible answers)

create a number line, 0 being the middle. plot -1 and -9 with CLOSED circles. Now, the reason you have closed circles is because you are using the word or and there are only 2 possible answers to complete the compound sentence, as in it is this OR that. 

Therefore, to graph this you should have a number line with -1 and -9 plotted with closed circles and no shading because there is no range of numbers, only 2 answers which we plotted.