Step 1 :The question is asking whether the two conversion factors for the equality 1 in = 2.54 cm are correctly shown. The two conversion factors given are 1 in/2.54 cm and 2.54 in/1 cm.
Step 2 :The first conversion factor is correct, as it states that 1 inch is equivalent to 2.54 cm. However, the second conversion factor is incorrect. It should be 2.54 cm/1 in, not 2.54 in/1 cm. This is because 1 inch is equivalent to 2.54 cm, not the other way around.
Step 3 :Therefore, the statement in the question is false.
Step 4 :Final Answer: The statement in the question is \(\boxed{false}\).