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In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4.1 cm. Which compound inequality represents the situation?

Respuesta :

Ryan121902
I’m pretty sure it’s 4 < r < 4.1
Please comment if you have any questions.

Answer:

[tex]4<r\leq 4.1[/tex]

Step-by-step explanation:

We have been given that the radius of the gear, r, must be greater than 4 cm.

We can represent this information in an inequality as:

[tex]r>4[/tex]

We are also told that the gear must not exceed 4.1 cm. We can represent this information in an inequality as:

[tex]r\leq 4.1[/tex]

Upon combining both inequalities, we will get:

[tex]4<r\leq 4.1[/tex]

Therefore, our required inequality is [tex]4<r\leq 4.1[/tex].

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