Interval notation uses parenthesis and brackets, while inequality notation uses inequality symbols.
a)
Interval notation: [-4, 8)
Inequality notation:
x >= -4, x < 8
---For inequality notation, it can also be written as two separate inequalities. I am not sure what your teacher is looking for, so I will provide both the compound and separate formats.
b)
Interval notation: (-infinity, 7)
Inequality notation: x < 7
c)
Interval notation: (-infinity, -6) U (0, infinity)
Inequality notation:
x < -6, x >= 0
Hope this helps!