Let's solve the inequality step by step to determine which inequality describes all the solutions.

The inequality is:

$5(3 - x) < -2x + 6$

1. Distribute the 5 on the left-hand side:

$5(3) - 5(x) < -2x + 6$

This simplifies to:

$15 - 5x < -2x + 6$

2. Move all terms involving $x$ to one side by adding $5x$ to both sides:

$15 < 3x + 6$

3. Subtract 6 from both sides:

$9 < 3x$

4. Solve for $x$ by dividing both sides by 3:

$x > 3$

So, the solution to the inequality is:

$x > 3$

Therefore, the correct answer is B. $x > 3$.

Would you like more details on any step? Here are 5 related questions:

1. How do you solve inequalities with variables on both sides?
2. What happens if you multiply or divide an inequality by a negative number?
3. How do inequalities differ from equations in their solutions?
4. Can you provide examples of compound inequalities?
5. How do absolute value inequalities work?

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