Answer:
A.
![P-1.4>9.78](https://img.qammunity.org/2019/formulas/mathematics/high-school/9i7n6qu27rfq6lzm86epi8ysu1rikzmosn.png)
Explanation:
We have been given a sentence. We are asked to find the inequality that represents the given sentence.
Sentence:
The difference of a number and one and four tenths is more than nine and seventy-eight hundredths.
Let the number be P.
The difference of number and one and four tenths would be
.
The difference both numbers is more than nine and seventy-eight hundredths. We can represent this information in an inequality as:
![P-1.4>9.78](https://img.qammunity.org/2019/formulas/mathematics/high-school/9i7n6qu27rfq6lzm86epi8ysu1rikzmosn.png)
Therefore, option A is the correct choice.