Express the interval using two different representations. Interval Notation: Inequality Notation:

Interval notation is (-∞, 0)U(0, ∞)
Inequality notation is 0 < x < 0
According to the question, we are to represent the number line using the inequality Notation and Interval Notation.
From the number line shown, we can see that there are two inequalities represented on it.
For the green line, the equivalent inequality expression is x > 0.
For the black line, the equivalent inequality expression is x < 0
Hence the representation in inequality notation is 0 < x < 0
Hence the interval notation for x < 0 and x > 0 is given as (-∞, 0)U(0, ∞)