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The given inequality is:

\[
2 - 3x \leq 12
\]

Let's solve this step by step.

### Step 1: Isolate the term with \(x\)
Subtract 2 from both sides of the inequality:

\[
-3x \leq 12 - 2
\]

\[
-3x \leq 10
\]

### Step 2: Solve for \(x\)
Now, divide both sides of the inequality by \(-3\). Remember, when dividing by a negative number, the direction of the inequality flips:

\[
x \geq \frac{10}{-3}
\]

\[
x \geq -\frac{10}{3}
\]

### Final Answer:
The solution set (Himpunan Penyelesaian, HP) is:

\[
x \geq -\frac{10}{3}
\]

This means that \(x\) can be any value greater than or equal to \(-\frac{10}{3}\).

Would you like more details or have any further questions?

Here are 5 related questions:
1. How do you solve compound inequalities?
2. What changes occur when multiplying or dividing inequalities by negative numbers?
3. How do you represent the solution set on a number line?
4. What are common mistakes when solving inequalities?
5. How do you express inequalities in interval notation?

**Tip:** Always remember that when multiplying or dividing by a negative number in an inequality, the inequality sign flips direction.

Tentukan Himpunan Penyelesaian (HP) untuk pertidaksamaan: 2 - 3x ≤ 12

Solve the linear inequality 2 - 3x ≤ 12 with a detailed step-by-step explanation. Learn the algebraic rules for solving inequalities and when to reverse the inequality sign when dividing by negative numbers. Suitable for students in Grades 7-9.

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