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]