Question

Is this correct on how to graphing the inequalities???

Answer 1

You have the right idea, the shading is incorrect however your lines are not. For your line y is less than or equal to x. you can check the answer by using a coordinate from the graph that is not on the line.

For example let's use the coordinate (0,1) to see if it creates a false or true statement. 
1 is less than 0.
This is a false statement.
Because these coordinates are on the left of the line, and the checked statement is false, you should have instead shaded on the right of the line.
so your answers are instead between the two lines.

Answer 2

It is correct but for the broken or dashed line, you have you shade the upper region. The line with the thick line is right.