The problem asks to find the inequality whose solution is represented by the shaded region in the given graph. The graph shows a shaded region bounded by a dashed line.

1. Problem Description

The problem asks to find the inequality whose solution is represented by the shaded region in the given graph. The graph shows a shaded region bounded by a dashed line.

2. Solution Steps

The line in the graph intercepts the x-axis at $x=3$ and the y-axis at $y=3$. The equation of this line is given by

$\frac{x}{3} + \frac{y}{3} = 1$

$x + y = 3$

Since the line is dashed, the inequality will either be $>$ or $<$. The shaded region is below the line.

Let us test a point in the shaded region, for example, $(0,0)$.

If $x + y < 3$, then $0 + 0 < 3$, which is true.

If $x + y > 3$, then $0 + 0 > 3$, which is false.

So, the inequality is $x+y < 3$.

3. Final Answer

B. $x + y < 3$