Respuesta :

Answer:

The decimal is 0.46

Step-by-step explanation:

Given

Less than 0.8

Greater than 0.02

Required

Determine the decimal

Let the decimal be x

Such that:

[tex]x < 0.8[/tex] and [tex]x > 0.02[/tex]

Rewrite as:

[tex]x > 0.02[/tex] and [tex]x < 0.8[/tex]

Rewrite as:

[tex]0.02 < x[/tex] and [tex]x < 0.8[/tex]

This can be merged to give:

[tex]0.02 < x<0.8[/tex]

From the list of given options, only 0.46 fall in this range because:

[tex]0.02 < 0.46<0.8[/tex]

So:

[tex]x = 0.46[/tex]