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In Mathematics / College | 2025-07-03

"Princess Tower" in Dubai is considered the world's tallest residential building, towering to 101 floors!

[tex]T(n)[/tex] models the number of tenants living on floor [tex]n[/tex] of the tower.

What does the statement [tex]T(60)\ \textgreater \ T(10)+T(30)[/tex] mean?

Choose 1 answer:

A. The height of floor 60 is greater than the sum of the heights of floors 10 and 30.
B. The number of floors with 60 tenants is greater than the number of floors with either 10 or 30 tenants.
C. There are more tenants on floor 60 than there are tenants on floors 10 and 30 combined.

Asked by quilttreker1

Answer (2)

T ( n ) models the number of tenants on floor n .
T ( 60 ) is the number of tenants on floor 60.
T ( 10 ) + T ( 30 ) is the total number of tenants on floors 10 and 30.
T(10) + T(30)"> T ( 60 ) > T ( 10 ) + T ( 30 ) means floor 60 has more tenants than floors 10 and 30 combined. The answer is (C).

Explanation

Understanding the Problem The problem states that T ( n ) models the number of tenants living on floor n of the Princess Tower. The question asks us to interpret the meaning of the statement T(10) + T(30)"> T ( 60 ) > T ( 10 ) + T ( 30 ) . This means we need to understand what each term in the inequality represents and then combine them to understand the overall meaning.

Interpreting the Terms T ( 60 ) represents the number of tenants living on floor 60 of the Princess Tower. T ( 10 ) represents the number of tenants living on floor 10 of the Princess Tower. T ( 30 ) represents the number of tenants living on floor 30 of the Princess Tower. T ( 10 ) + T ( 30 ) represents the total number of tenants living on floors 10 and 30 combined.

Interpreting the Inequality The inequality T(10) + T(30)"> T ( 60 ) > T ( 10 ) + T ( 30 ) means that the number of tenants living on floor 60 is greater than the total number of tenants living on floors 10 and 30 combined. Therefore, option (C) is the correct interpretation.

Final Answer The statement T(10) + T(30)"> T ( 60 ) > T ( 10 ) + T ( 30 ) means that there are more tenants on floor 60 than there are tenants on floors 10 and 30 combined.


Examples
Imagine you're managing a large apartment building. T ( n ) could represent the number of people living on floor n . If T(10) + T(30)"> T ( 60 ) > T ( 10 ) + T ( 30 ) , it means that floor 60 has more residents than floors 10 and 30 combined. This information could be useful for resource allocation, like deciding where to focus maintenance efforts or where to install additional amenities.

Answered by GinnyAnswer | 2025-07-03

The statement T(10) + T(30)"> T ( 60 ) > T ( 10 ) + T ( 30 ) means that there are more tenants on floor 60 than the total number of tenants on floors 10 and 30 combined. The answer is option (C).
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Answered by Anonymous | 2025-07-04