To solve the inequality:

$3x + 5 > 17$

Step 1: Subtract 5 from both sides

$3x > 17 - 5$ $3x > 12$

Step 2: Divide both sides by 3

$x > \frac{12}{3}$ $x > 4$

Solution:

The solution to the inequality is $x > 4$.

Would you like more details or have any questions?

Here are 5 related questions:

1. How would you solve the inequality $2x + 7 > 15$?
2. What happens if the inequality is $3x + 5 \geq 17$?
3. How would the solution change if the original inequality was $3x + 5 < 17$?
4. Can you solve $4x - 3 > 21$?
5. How do you graph the solution $x > 4$ on a number line?

Tip: When dividing or multiplying inequalities by a negative number, remember to reverse the inequality sign.