The graph represents a shaded region bounded by a dashed line, which indicates a strict inequality. Let's analyze it step by step:

1. Slope of the line: The line passes through points like $(0, 7)$ and $(7, 0)$, which gives the slope $m = -1$. This corresponds to the equation $x + y = 7$.

2. Forming the inequality:

   • Since the line is dashed, the inequality is strict (i.e., $<$).
   • The shaded region is below the line, indicating that the inequality involves a less-than condition.

Thus, the equation of the line $x + y = 7$ is converted into an inequality: $x + y < 7$

3. Matching the options: The inequality $x + y < 7$ is equivalent to option A if we rewrite it as: $7x + 4y < 28$

This matches option A.

The best-represented inequality is: A. 7x + 4y < 28

Would you like more details or have any questions?

Here are five related questions to expand on this topic:

1. How do we determine whether a line should be solid or dashed in an inequality graph?
2. What does shading above or below a line signify in inequality graphs?
3. How can you determine the slope of a line from two points on a graph?
4. What are other forms of linear inequalities, and how do they differ in representation?
5. How do different coefficients in inequalities affect the slope and intercepts?

Tip: Always check whether the line in an inequality is dashed or solid. Dashed means strict inequality ($<$ or $>$), and solid means inclusive ($\leq$ or $\geq$).