It looks like you've uploaded an image of a math problem, which includes a number line and an inequality. I'll analyze the image and provide an explanation.

Analyzing the Image:

1. Inequality: The image appears to show an inequality problem. The inequality is likely in the form $6x - 5 < 2x + 3$ based on typical math problems.
2. Solution Step: The problem has been simplified to an inequality, something like $4x < 8$, which simplifies further to $x < 2$.
3. Number Line: Below the inequality, there's a number line showing the solution. The solution indicates that the variable $x$ is less than 2, with the interval $(- \infty, 2)$.

Explanation of the Solution:

1. Starting with the inequality: $6x - 5 < 2x + 3$
2. Subtract $2x$ from both sides: $4x - 5 < 3$
3. Add 5 to both sides: $4x < 8$
4. Divide by 4: $x < 2$
5. Solution on the Number Line:
   • The number line indicates all values less than 2 are solutions. This is shown by shading to the left of 2, with an open circle at 2, indicating that 2 is not included in the solution.

Would you like more details on any specific part of this solution?

Relative Questions:

1. What happens if the inequality symbol changes direction (e.g., $\geq$ or $>$)?
2. How do we solve inequalities that involve division or multiplication by a negative number?
3. Can you graph the solution of an inequality involving absolute values on a number line?
4. How does the solution change if you have a compound inequality (e.g., $a < x < b$)?
5. What is the importance of open and closed circles on a number line when graphing inequalities?

Tip:

When solving inequalities, always remember that multiplying or dividing both sides of an inequality by a negative number reverses the inequality sign.