Question

How do you solve `abs(5n-1) = 7`?

Answer 1

See the explanation.

Explanation:

`|5n-1|=5n-1, 5n-1>=0 <=> 5n>=1 <=> n>=1/5`
`|5n-1|=-5n+1, 5n-1<0 <=> 5n<1 <=> n<1/5`

We need to solve 2 equations:
`5n-1=7 <=> 5n=8 <=> n=8/5>1/5` is a solution
`-5n+1=7 <=> -5n=6 <=> n=-6/5<1/5` is a solution