Final answer:
To determine where the shading should be for the given inequalities, graph the lines and shade the appropriate regions.
Step-by-step explanation:
To determine where the shading should be for the inequalities y > -1/2x - 3 and y < 3x - 6, you can start by graphing the two lines y = -1/2x - 3 and y = 3x - 6 on the same coordinate plane. Then, shade the region above the line y = -1/2x - 3 and below the line y = 3x - 6. The area where the shading overlaps represents the solution to the given inequalities.
You can find the points where the shading should be by picking a test point in each region and substituting it into the original inequalities. If the test point satisfies the inequality, then that region should be shaded. If the test point does not satisfy the inequality, then that region should be left unshaded.