To determine the system of linear inequalities based on Monica's shaded area that includes point B, we need to interpret the inequalities based on the position of point B relative to the boundary lines on the graph.

For a precise solution, I would need a few details:

• The slopes and y-intercepts of the boundary lines,
• The location of point B relative to these lines,
• If possible, an image of the graph.

The options you provided:

1. $y < x - 8$
2. $y \leq x - 8$
3. $y > x - 8$
4. $y \geq x - 8$
5. $y < x + 2$
6. $y \leq x + 2$
7. $y > x + 2$
8. $y \geq x + 2$

Each option suggests a comparison to a line with the form $y = x - 8$ or $y = x + 2$. We would select inequalities based on the side of the line where point B is located and whether the boundary line is included or not (indicated by $\leq$ or $\geq$).

If you can provide any additional details or upload the graph, I can help you select the correct inequalities.

Would you like more information on solving inequalities? Here are some follow-up questions:

1. What does it mean when we shade below or above a line in an inequality?
2. How can we test a point to see if it satisfies an inequality?
3. How does changing the inequality symbol (e.g., $<$ to $\leq$) affect the shaded region?
4. What role does the slope play in determining the direction of the inequality?
5. How can we confirm the correct inequalities for a system graphically?

Tip: To determine if a point is part of a solution to an inequality, substitute its coordinates into the inequality. If the statement is true, the point satisfies the inequality.