In order to write this set in interval notation, first let's understand what the set represents.
This set includes all numbers that are greater than or equal to 7.
That is, the smaller number in the set is 7, and the greater value doesn't exist, so we can use positive infinity to represent that the set only grows.
Since number 7 is included in the set, we use square brackets, and since positive infinity is not included in the set (because it's not a number that is in the set), we use parenthesis, so the interval notation is:
[tex]\lbrack7,\text{inf)}[/tex]