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?
r > 4 and r ≤ 4.1
r > 4 or r ≤ 4.1
r < 4 and r ≥ 4.1
r < 4 or r ≥ 4.1

Answer 1

The compound inequality represents the situation is r > 4 and r ≤ 4.1

Compound inequality

• Radius of the gear = r

• r must be greater than 4 cm

r > 4

• r must not exceed 4.1 cm

r ≤ 4.1

Therefore, r > 4 and r ≤ 4.1 is the compound inequality which represent the situation.

Learn more about compound inequality:

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