Final answer:
The inequalities resulting from multiplying or dividing both sides of -49 < 24 by the same number maintain the relationship of the original inequality, making options A, B, and C equivalent transformations.
Step-by-step explanation:
The inequality in question is -49 < 24. To find an equivalent inequality, you can perform the same mathematical operation on both sides of the inequality without changing its direction because the operations will preserve the original inequality's relationship. Let's consider each option one by one:
D. Subtract 4 from both sides: -49 - 4 < 24 - 4 simplifies to -53 < 20. This is true, however, subtracting a number does not generally produce an equivalent inequality because it changes the values being compared.
After analyzing each option, we see that all transformations A, B, and C preserve the inequality and produce a true statement. Therefore, the answers to the question which inequality is equivalent to -49 < 24 by either multiplying or dividing both sides by a number are options A, B, and C.