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In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours or after working more than 9 hours. How can this be written as a single compound inequality?

A. [tex] h \ \textless \ 7 [/tex] or [tex] h \ \textgreater \ 9 [/tex]

B. [tex] 7 \ \textless \ h \ \textless \ 9 [/tex]

C. [tex] 7 \ \textgreater \ h \ \textgreater \ 9 [/tex]

D. [tex] h \ \textgreater \ 7 [/tex] or [tex] h \ \textless \ 9 [/tex]



Answer :

GinnyAnswer
To determine the times when Antonio can drive home to avoid heavy traffic, we need to express the conditions given in a single, combined form.

The conditions are:
1. Antonio can drive home after working less than 7 hours.
2. Antonio can drive home after working more than 9 hours.

This can be summarized as:
- [tex]\( h < 7 \)[/tex] implies Antonio drives home if he has worked fewer than 7 hours.
- [tex]\( h > 9 \)[/tex] implies Antonio drives home if he has worked more than 9 hours.

Since these are two separate conditions that Antonio can choose between, we use the word "or" to combine them. Thus, the compound inequality that expresses when Antonio can drive home to avoid heavy traffic is:

[tex]\[ h < 7 \text{ or } h > 9 \][/tex]

Therefore, the correct option from the given choices is:
[tex]\[ h < 7 \text{ or } h > 9 \][/tex]

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