Final answer:
After calculating the expressions 2pr and 3rq using the given values for p, q, and r, and combining them, we find that the value of 2pr - 3rq is -42. However, this answer is not among the provided options, suggesting a possible mistake in the question or answer choices.
Step-by-step explanation:
We are asked to calculate the value of 2pr - 3rq given the values p = 4, q = -2, and r = -3. First, we find the product of 2, p, and r:
2 × p × r = 2 × 4 × (-3) = 8 × (-3) = -24
Next, we find the product of 3, r, and q:
3 × r × q = 3 × (-3) × (-2) = (-9) × (-2) = 18
Now we can combine these two results to find the final answer:
2pr - 3rq = -24 - 18 = -42
This option is not listed in the choices provided, which indicates a possible error in the question or the options given. Please re-check your question or consult your instructor for the correct values.