Question

Which graph represents the solution of the open sentnce |x| + 3 > 3

Answer 1

The inquality can be simplified as x < 0 or x > 0, the graph of this is in the image at the end.

How to graph the solution set?

We want to find the graph of the inequality:

|x| + 3 > 3

Let's isolate the variable, we can subtract 3 in both sides of the equation, so we will get:

|x| + 3 - 3 > 3 - 3

|x| > 0

Now this is trivial, the absolute value is greater than zero for any value except x = 0, so we can write this as:

x < 0 or x > 0, the graph is shown below.