1. The problem is to identify the system of inequalities that define the yellow shaded triangular region on the graph. 2. The graph shows three lines: - Line 1: $y = 1$ (horizontal line) - Line 2: $y = 2x + 1$ - Line 3: $x + y = 4$ 3. The shaded region satisfies the inequalities: - $y \geq 1$ (above or on the line $y=1$) - $y \leq 2x + 1$ (below or on the line $y=2x+1$) - $x + y \leq 4$ (below or on the line $x+y=4$) 4. These inequalities form a triangular region bounded by the three lines. 5. The other inequalities given (such as $y \geq 2x + 1$, $x + y \geq 4$, $2y \leq x + 1$) do not correspond to the shaded region. Final answer: The system of inequalities defining the yellow shaded triangle is: $$ \begin{cases} y \geq 1 \\ y \leq 2x + 1 \\ x + y \leq 4 \end{cases} $$