To solve the inequality:

$3 > x + 1$

we start by isolating $x$ on one side. Subtract 1 from both sides:

$3 - 1 > x$

$2 > x$

or, equivalently:

$x < 2$

Solution: $x < 2$.

Would you like further details or have any questions?

Related Questions:

1. How would the solution change if the inequality were $3 \geq x + 1$?
2. How can we represent this solution on a number line?
3. What happens to the inequality if we multiply both sides by $-1$?
4. How do we solve $3 > 2x + 1$?
5. What are the rules for solving inequalities when variables are involved?

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