https://file.aiquickdraw.com/mathbot/file/1730119433205fbe6d9tk.jpg

The problem in the image is in Indonesian and can be translated as:

**"The solution for \(5x - (4x - 10) \leq 12\), with \(x \in B\), is ...."**

Let's solve the inequality:

### Step 1: Simplify the Expression
The inequality is:
\[
5x - (4x - 10) \leq 12
\]

Distribute the negative sign:
\[
5x - 4x + 10 \leq 12
\]

Combine like terms:
\[
x + 10 \leq 12
\]

### Step 2: Solve for \(x\)
Subtract 10 from both sides:
\[
x \leq 2
\]

### Final Answer
The solution is:
\[
x \leq 2
\]

So, the set of all values of \(x\) that satisfy the inequality is \(x \leq 2\).

Would you like more details, or have any questions?

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Here are 5 related questions to explore this topic further:
1. How would the solution change if the inequality was \(5x - (4x - 10) \geq 12\)?
2. Can we represent this solution graphically on a number line?
3. How do we solve inequalities with more complex expressions or absolute values?
4. What are some real-world applications of inequalities?
5. How would the solution change if the problem had a different set constraint for \(x\)?

**Tip:** Always double-check your work when distributing terms in an equation or inequality, especially when there's a negative sign involved.

The solution for 5x - (4x - 10) ≤ 12, with x ∈ B, is ....

Explore the solution to the inequality 5x - (4x - 10) ≤ 12, covering key algebraic techniques, including distribution and simplification. This problem is ideal for students in Grades 8-10, focusing on foundational inequality properties.

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