Question

Select the graph for the solution of the open sentence lxl +3>3

No solution
Closed circle on 0 going to the right
Open circle going out left and right
Open circle only going to the right

Answer 1

`x>0\:or\:x<0`

As seen in graph, there is an open circle on 0, and it goes out left and right.

Option C is correct option.

Explanation:

We need to draw the graph for the solution of the open sentence
`|x| +3>3`

First we will solve the inequality:
`|x| +3>3`

Adding -3 on both sides

`|x| +3-3>3-3\\|x| >0`

We know that
`If\:|x|>0,\:then\:x>0\:or\:x<0`

So, we have

`x>0\:or\:x<0`

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.