Provided in the question, total number of people that can be accommodated in the theatre are 471.
- Now, 254 people are seated
- p is the number of people who can enter the theatre of the movie.
Then, according to the question there are two possibilities. The number of people is less than the total number of People who can be accommodated.
[tex]1) \: p + 254 < 471[/tex]
Or, they can be equal to the number of people.
[tex]2) \: p + 254 = 471[/tex]
Combining both the inequations, We get
[tex] \boxed{ p + 254 \leqslant 471}[/tex]
So, the correct option is Option D
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