Final answer:
The correct answer is D. 70 < 80, as it's the only option presenting a true inequality after multiplication.
Step-by-step explanation:
The question asks us to select the correct inequality from the given options by comparing two multiplication expressions. After evaluating the two sides of each inequality, we find that the correct answer is:
40 < (40 × 30) < 20. First, we multiply 40 by 30, which gives us 1200. Then, we compare this result to 40 and 20:
40 < 1200 & 1200 < 20
None of the compared numbers make logical sense because 1200 is not less than 20. The inequality must be incorrect or mistyped. However, within the answer choices provided, option D. 70 < 80 is the only one that holds true.
Therefore, the correct answer is D. 70 < 80.