The inequality represents the sentence below is that the p minus 1. 4 greater-than 9.
<h3>What is the inequality equation?</h3>
Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
Given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.
Before solving it, first let's discuss the tenth and hundredths,
- Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.
- Hundredths is written as the fractional part of the number 100. The value of one hundredth is equal to 1/100 or 0.01.
Here, the sentence given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.
One and four tenths can be written as,
![1\dfrac{4}{10}](https://tex.z-dn.net/?f=1%5Cdfrac%7B4%7D%7B10%7D)
Nine and seventy-eight hundredths can be written as,
![9\dfrac{78}{100}](https://tex.z-dn.net/?f=9%5Cdfrac%7B78%7D%7B100%7D)
Let suppose the number is <em>p</em>. This difference of this number and one four tenths is more than nine and seventy-eight hundredths. Thus,
![p-1\dfrac{4}{10} > 9\dfrac{78}{100}\\p-\dfrac{14}{10} > \dfrac{978}{100}\\p-1.4 > 9.78\\](https://tex.z-dn.net/?f=p-1%5Cdfrac%7B4%7D%7B10%7D%20%3E%209%5Cdfrac%7B78%7D%7B100%7D%5C%5Cp-%5Cdfrac%7B14%7D%7B10%7D%20%3E%20%5Cdfrac%7B978%7D%7B100%7D%5C%5Cp-1.4%20%3E%209.78%5C%5C)
Hence, the inequality represents the sentence below is that the p minus 1. 4 greater-than 9.
Learn more about the inequality equation here:
brainly.com/question/17724536