The problem shown in the image is:

Find the solution to the inequality: $6x + 2 < 10 + 4x$

Let me solve it step by step:

Step 1: Simplify the inequality

Start by subtracting $4x$ from both sides: $6x + 2 - 4x < 10 + 4x - 4x$ $2x + 2 < 10$

Step 2: Subtract 2 from both sides

$2x + 2 - 2 < 10 - 2$ $2x < 8$

Step 3: Divide by 2 to solve for $x$

$\frac{2x}{2} < \frac{8}{2}$ $x < 4$

Final Answer:

The solution is: $x < 4$

From the answer choices on the screen, the correct one is $x < 4$ (the green box).

Do you want me to explain any step further? Let me know!

Here are 5 related questions to expand your understanding:

1. How do you solve inequalities when variables appear on both sides?
2. What happens if you multiply or divide an inequality by a negative number?
3. How can inequalities be represented on a number line?
4. What is the difference between solving equations and solving inequalities?
5. How do you check if your solution to an inequality is correct?

Tip:

When solving inequalities, always remember to reverse the inequality sign if you multiply or divide by a negative number!