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Suppose that “P” people are in line to go to the movie (including you), then 9 more come later. If the theater only holds 200 people, write an inequality that could be used to model this situation (assume all these people could get tickets). Do not solve.



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Quad12364

Answer:

Let x be the number of people who join the line later, so the initial number of people in line is P, and the total number of people in line after the newcomers join is P + x. We can write the inequality as follows:

P + x <= 200

This inequality states that the total number of people in line (P + x) must be less than or equal to the theater’s capacity (200).

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