Question

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?

Answer 1

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

Answer 2

Answer:

$4<r\leq 4.1$

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:

$r>4$

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

$r\leq 4.1$

Upon combining both inequalities, we will get:

$4<r\leq 4.1$

Therefore, our required inequality is $4<r\leq 4.1$.