The inequality given is $x + 5 > 8$.

Step-by-step solution:

1. Isolate the variable $x$ by subtracting 5 from both sides: $x + 5 - 5 > 8 - 5$ $x > 3$

Answers:

1. As an inequality: $x > 3$
2. In interval notation: $(3, \infty)$
3. On a number line: The solution starts from 3 (but does not include 3) and extends to infinity. This would be represented as an open circle at $3$ and a line extending to the right (positive direction).

Do you need more details or have any questions?

5 related questions:

1. How would the solution change if the inequality was $x + 5 \geq 8$?
2. What is the difference between strict inequalities (>) and inclusive inequalities (≥)?
3. How can you solve inequalities with fractions or decimals?
4. How do you represent solutions of inequalities involving "less than" on a number line?
5. Can you explain how to solve a compound inequality, such as $1 < x + 5 < 10$?

Tip:

When solving inequalities, remember to reverse the inequality symbol if you multiply or divide by a negative number.