Answer:
we can see that the function is below the x-axis (negative) for x values less than -4. Therefore, the statement "F(x) < 0 over the interval (-∞, -4)" is true.
However, the function is not below the x-axis for x values less than -3. Therefore, the statement "F(x) < 0 over the interval (-∞, -3)" is false.
Similarly, the function is not above the x-axis for x values less than -3. Therefore, the statement "F(x) > 0 over the interval (-∞, -3)" is false.
Hence, the correct statement is "F(x) < 0 over the interval (-∞, -4)".