Question

Solve the inequation:
`– 1 < 3  – "x"/5 ≤ 1`

Answer 1

`– 1 < 3  – "x"/5 ≤ 1`

Multiplying the inequation by 5, the sign of inequality changes
5 > – 15 + x > – 5
Adding 15 on both the sides, we get
20 > x > 10
⇒ 10 < x < 20
The solution contains all the real values of x lying between 10 and 20, excluding the boundary value.
The solution set can be written in the form of open interval (10, 20).