Let's break down the inequality $x > 4$ into the different formats:

a) On a number line:

• On the number line, we will show the number 4 with an open circle (to indicate that 4 is not included), and we will shade the line to the right of 4 to indicate that $x$ is greater than 4.

b) In interval notation:

• Interval notation represents the set of numbers as an interval. Since $x > 4$, we do not include 4, so the interval starts from 4 (but does not include it) and extends to infinity.
• Interval notation: $(4, \infty)$

c) As a solution set (set builder notation):

• In set builder notation, we describe the set of all values of $x$ that satisfy the condition $x > 4$.
• Set builder notation: $\{ x \mid x > 4 \}$

Would you like me to provide a visual representation of the number line?