Answer:
[tex]x>0\:or\:x<0[/tex]
As seen in graph, there is an open circle on 0, and it goes out left and right.
Option C is correct option.
Step-by-step explanation:
We need to draw the graph for the solution of the open sentence [tex]|x| +3>3[/tex]
First we will solve the inequality: [tex]|x| +3>3[/tex]
Adding -3 on both sides
[tex]|x| +3-3>3-3\\|x| >0[/tex]
We know that [tex]If\:|x|>0,\:then\:x>0\:or\:x<0[/tex]
So, we have
[tex]x>0\:or\:x<0[/tex]
Now, the graph is attached in the figure below
As seen in graph, there is an open circle on 0, and it goes out left and right.
Option C is correct option.
