Question

What whole number n makes 6/78<1/n<5/55 true?

Answer 1

the expression is,

`(6)/(78)<(1)/(n)<(5)/(55)`
`\begin{gathered} (6)/(78)<(1)/(n) \\ n<(78)/(6) \\ n<13 \end{gathered}`

Now,

`\begin{gathered} (1)/(n)<(5)/(55) \\ (1)/(n)<(1)/(11) \\ n>11 \end{gathered}`

so the number n is between 11 and 13

that is n = 12

thus, the answer is n = 12