The inequality shown in the image is:

$3(x + 2) > 5x - 4$

Let's solve it step by step:

1. Distribute the 3 on the left side: $3x + 6 > 5x - 4$

2. Move all the x terms to one side (subtract 3x from both sides): $6 > 2x - 4$

3. Move constant terms to the other side (add 4 to both sides): $10 > 2x$

4. Solve for x (divide both sides by 2): $x < 5$

Thus, the solution to the inequality is: $x < 5$

Let me know if you'd like further explanations or if you have additional questions!

Here are some related questions for further practice:

1. How do you solve a linear inequality with fractions?
2. What happens when you multiply or divide both sides of an inequality by a negative number?
3. How do you solve compound inequalities?
4. Can you graph inequalities on a number line?
5. What’s the difference between solving an equation and solving an inequality?

Tip: When solving inequalities, always be cautious when multiplying or dividing by negative numbers because the direction of the inequality sign changes!