what is the set in interval notation (negative infinity,0) and [-2,6)
To represent a set of numbers in interval notation, we use parentheses "(" or ")" to indicate that the endpoint is not included, and brackets "[" or "]" to indicate that the endpoint is included.
The set described as "(negative infinity, 0)" means all numbers less than 0, but not including 0. Since it includes negative infinity, which is the smallest possible number, we use "(-∞, 0)".
The second set, "[-2, 6)", means all numbers greater than or equal to -2, and less than 6. Since it includes -2, but not 6, we use "[-2, 6)".
Now, combining both sets, we have (-∞, 0) and [-2, 6).