Given the inequality $x > 4$:

a) Number line:

On a number line, this inequality means that $x$ includes all values greater than 4. We represent this by drawing an open circle at $4$ (since $4$ is not included) and shading the line to the right of $4$.

b) Interval notation:

In interval notation, the solution is written as: $(4, \infty)$ Where the round bracket "(" at 4 means 4 is not included, and $\infty$ means the numbers go on infinitely in the positive direction.

c) Set-builder notation:

In set-builder notation, the inequality is expressed as: $\{x \mid x > 4\}$ This means the set of all $x$ such that $x$ is greater than 4.

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Do you want more details or have any questions?

Here are 5 related questions:

1. How would the number line change for $x \geq 4$?
2. What would interval notation be for $x < 4$?
3. How is the solution set written if $x \leq 4$?
4. Can you graph inequalities with two bounds, like $2 < x < 6$?
5. How would the solution change for $x > -3$?

Tip: Always remember, use an open circle for strict inequalities (like $>$ or $<$) and a closed circle for inclusive inequalities (like $\geq$ or $\leq$).