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The problem shown in the image is:

**Penyelesaian dari** \( 2 - (p - 4) \geq 2p + 12 \), \( p \in \mathbb{B} \), **maka nilai \( 2p \) adalah ...**

Let's solve this step by step:

1. **Expand the inequality:**

   \( 2 - (p - 4) \geq 2p + 12 \)

   Distribute the negative sign:

   \( 2 - p + 4 \geq 2p + 12 \)

2. **Combine like terms:**

   \( 6 - p \geq 2p + 12 \)

3. **Isolate \( p \):**

   Add \( p \) to both sides:

   \( 6 \geq 3p + 12 \)

   Subtract 12 from both sides:

   \( -6 \geq 3p \)

4. **Solve for \( p \):**

   Divide both sides by 3:

   \( -2 \geq p \)

   or

   \( p \leq -2 \)

5. **Determine \( 2p \):**

   If \( p \leq -2 \), the possible values of \( p \) depend on the set \(\mathbb{B}\) (which might represent integers). For instance, if \( p = -2 \):

   \( 2p = 2(-2) = -4 \).

Therefore, the solution for \( 2p \) when \( p \leq -2 \) and considering \( p \in \mathbb{B} \) is \(-4\).

Would you like more details or have any questions about this solution?

Here are 5 related questions:
1. How do you solve inequalities with variables on both sides?
2. What happens if \(\mathbb{B}\) includes other types of numbers like positive integers?
3. How can we graph the solution \( p \leq -2 \) on a number line?
4. What would change in the solution if the inequality were \( 2 - (p - 4) > 2p + 12 \)?
5. How do you solve inequalities with absolute values?

**Tip:** When solving inequalities, always ensure to reverse the inequality sign when multiplying or dividing by a negative number.

Penyelesaian dari 2 - (p - 4) ≥ 2p + 12, p ∈ B, maka nilai 2p adalah ...

Learn how to solve the inequality 2 - (p - 4) ≥ 2p + 12 with a step-by-step approach. This problem covers algebraic concepts, including inequalities and distributive properties, suitable for Grades 9-11 students.

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