We were told to re-write the inequalities in interval notation. To do this, let us split the statement
First of all, let us represent the number within the range with x
So that
If the number is at least 3000 then it means that the minimum value of x is 3000
This is represented as
[tex]\begin{gathered} x\ge3000 \\ x\text{ is greater than or equal to 3000} \end{gathered}[/tex]For the second statement
The number is less than 30000
This means that the number is less than 30000, it can be represented by
[tex]x<30000[/tex]If we combine the two mathematical statements we will have
[tex]3000\le x<30000[/tex]