Question

Solve for Y. 1/8 > y > 18%

Answer 1

The solution is (-∞, 0.125) ∪ (0.18,∞)

Explanation:

we have

`(1)/(8) > y > 18\%`

This is a compound inequality

`y > 18\%` or
`y < (1)/(8)`

Remember that

`18\%=18/100=0.18`

`(1)/(8)=0.125`

so

`y > 0.18` -----> the solution is the interval (0.18,∞)

`y < 0.125` ----> the solution is the interval (-∞, 0.125)

The solution of the compound inequality is

(-∞, 0.125) ∪ (0.18,∞)