The graph for |x| < 3 is a shaded region on the number line between -3 and 3, excluding the boundary points -3 and 3.
The open sentence |x| < 3 represents an inequality indicating that the absolute value of x is less than 3. To visualize this on a graph, we consider all the values of x that satisfy this inequality.
The solution to |x| < 3 includes all real numbers whose absolute values are less than 3. Therefore, x can take any value between -3 and 3, excluding the boundary values.
The graph of this solution is a shaded region on the number line between -3 and 3, excluding the points -3 and 3. The shading indicates the values of x that satisfy the given inequality.
In summary, the graph for the solution of the open sentence |x| < 3 is a shaded region on the number line between -3 and 3, excluding the boundary points -3 and 3.