x > 6 and x > 2.
First we need to recognize the inequality that answers the problem. Any x value that will correctly solve x > 6 will also work for x > 2. This means that x > 6 is a subset of x > 2. Since this is an and problem that is a solution has to work for both inequalities to be part of the solution set. This makes x > 6 the answer since it everything that works for x > 6 will also work for x > 2.
With that said we now need to determine which type of graph we need to create, assuming that you have to graph your answer. Note that in the graphs below each grid line represents 2.
If you are asked to graph the inequality on a number line your answer would be the red line, the one on top, of the graph below. I've drawn both lines so that you can see everywhere the red line is the orange is also.
If you are asked to graph the inequality in the coordinate plane your answer should look like the yellowish/greenish area on the right side of the yellow line in the graph below. Like the graph above everywhere the yellow area is the green area is also.
Now if the problem as or instead of and you would the green and orange lines would be your answer since your solutions in the solution set would only have to answer one of the equations. Everything that works in x > 6 also works for x > 2.