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Given that y satisfies the inequality 5y ≥ 84, find the smallest value of y if y is a prime number.

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Answer: 17

Step-by-step explanation:

Divide both sides of 5y ≥ 84 by 5 to get y ≥ 16.8

The set of prime numbers is {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...}

We see that 17 is the smallest prime such that it makes y ≥ 16.8 a true statement. In other words, 17 ≥ 16.8 is true.

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