Respuesta :

Answer:

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

Step-by-step explanation:

we have

[tex]\frac{1}{8} > y > 18\%[/tex]

This is a compound inequality

[tex]y > 18\%[/tex]  or [tex]y < \frac{1}{8}[/tex]

Remember that

[tex]18\%=18/100=0.18[/tex]

[tex]\frac{1}{8}=0.125[/tex]

so

[tex]y > 0.18[/tex] -----> the solution is the interval (0.18,∞)

[tex]y < 0.125[/tex] ----> the solution is the interval  (-∞, 0.125)

The solution of the compound inequality is

(-∞, 0.125) ∪ (0.18,∞)