Question

8. Given that k satisfies the inequality 5k > 84, find the smallest value of k if k is a prime number. ​

Answer 1

5k > 84 -> k > 84/5

Because k is a prime number, it must be a whole number

-> k > 16
The smallest prime number after 16 is 17, and it satisfies as 17 x 5 > 84

So, the smallest value of k is 17.