A right rectangular prism has a height 9 cm. The length of the base is x cm and it is 7 cm more than the width of the base. Write a function of the volume (V) of the prism in terms of the length of the base.

The height $h = 9$ cm.
The length of the base $l = x$ cm.
The length is 7 cm more than the width, so $l = w + 7$.

Since $l = w + 7$ and $l = x$, we have $x = w + 7$.
Solving for $w$:

The volume $V$ is given by the formula $V = \text{length} \times \text{width} \times \text{height}$.

Comparing this with the given options, the correct function is D.
The final answer is $\boxed{\text{D}}$.

The given inequality is $2x - 3 \leq 4x + 5 < 3x + 7$.
This can be written as two inequalities:

1. $2x - 3 \leq 4x + 5$
2. $4x + 5 < 3x + 7$

Subtract $2x$ from both sides:

Subtract 5 from both sides:

Divide by 2:

Subtract $3x$ from both sides:

Subtract 5 from both sides:

We have $x \geq -4$ and $x < 2$.
Combining these, the solution is:

Comparing this with the given options, the correct solution is A.
The final answer is $\boxed{\text{A}}$.