1. The problem asks to identify the system of inequalities that represents a rectangular shaded region centered on the origin, symmetric about the x-axis, extending horizontally along the x-axis, and covering a band of y-values from a negative to a positive constant. 2. The rectangle spans from roughly $y = -c$ to $y = c$ where $c > 0$, and extends along the entire negative to positive x-axis shown. 3. This means the y-values are bounded between two constants, and the x-values are unrestricted (covering all x). 4. The system of inequalities that describes this is: $$y \leq 3 \quad \text{and} \quad y \geq -3$$ 5. This means the y-values are between -3 and 3, inclusive, and x can be any value. 6. The other options restrict x-values or y-values incorrectly for the described region. Final answer: The system of inequalities is $y \leq 3$ and $y \geq -3$.