https://file.aiquickdraw.com/mathbot/file/1729143701684qq3emetr.jpg

The problem from the image reads as follows:

"Penyelesaian dari \(2 - (p - 4) \geq 2p + 12\), \(p \in B\), maka nilai \(2p\) adalah ...."

This is an inequality problem that we need to solve for \(p\), and the next step is to find the value of \(2p\).

Let's go through the steps to solve it:

### Step 1: Simplify the inequality
First, simplify the left-hand side of the inequality:

\[
2 - (p - 4) = 2 - p + 4 = 6 - p
\]

Now, rewrite the inequality:
\[
6 - p \geq 2p + 12
\]

### Step 2: Move terms involving \(p\) to one side
Add \(p\) to both sides:
\[
6 \geq 3p + 12
\]

### Step 3: Move constants to one side
Subtract 12 from both sides:
\[
6 - 12 \geq 3p
\]
\[
-6 \geq 3p
\]

### Step 4: Solve for \(p\)
Divide both sides by 3:
\[
p \leq -2
\]

### Step 5: Find the value of \(2p\)
Since \(p \leq -2\), the maximum possible value of \(p\) is \(-2\). Therefore:
\[
2p = 2(-2) = -4
\]

### Final Answer:
The value of \(2p\) is \(-4\).

Would you like more details or have any questions?

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Here are 5 related questions to explore further:

1. What would the solution look like if the inequality was strict (i.e., \(>\) instead of \(\geq\))?
2. How does solving inequalities differ from solving equations?
3. How do we interpret the solution \(p \in B\)? Does it imply additional constraints?
4. Can you solve an inequality with multiple variables, like \(x - 2p \geq 5\)?
5. What are the properties of inequalities when you multiply or divide by negative numbers?

**Tip:** When working with inequalities, remember to reverse the inequality sign when multiplying or dividing both sides 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. This solution demonstrates the steps to simplify the inequality and find the value of 2p, suitable for students in Grades 9-11.

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