Given:
The given inequality is [tex]x>4[/tex]
We need to determine the graph that fits the inequality.
Graph of the inequality:
The inequality means that x is greater than 4. This means that the end value 4 is not included.
To graph the inequality " > " a dashed line is used.
The inequality does not contain any y - value in it.
Hence, it has only one vertical line at [tex]x=4[/tex] and is shaded for all values of x greater than 4.
Therefore, the graph that fits the inequality [tex]x>4[/tex] is a vertical dashed line, shaded to the right of the line.
Thus, Option d is the correct answer.