https://file.aiquickdraw.com/mathbot/file/1727099345914o2scbifd.jpg

Let's solve the inequality step by step:

\[
8p \geq p + 63
\]

### Step 1: Subtract \(p\) from both sides to move all the \(p\) terms to one side.

\[
8p - p \geq 63
\]

This simplifies to:

\[
7p \geq 63
\]

### Step 2: Divide both sides by 7 to isolate \(p\).

\[
p \geq \frac{63}{7}
\]

\[
p \geq 9
\]

### Solution:
The solution to the inequality is:

\[
p \geq 9
\]

Would you like any further details or have any questions?

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Here are 5 related questions to explore further:

1. How would the solution change if the inequality was \(8p < p + 63\)?
2. What is the difference between solving an inequality and solving an equation?
3. How can this inequality be represented graphically on a number line?
4. What happens to the inequality if you multiply both sides by a negative number?
5. How do you solve inequalities involving absolute values?

**Tip:** Always reverse the inequality sign when multiplying or dividing both sides by a negative number.

Learn how to solve the inequality 8p ≥ p + 63 step-by-step. This problem involves core algebraic concepts such as inequalities and linear equations. Suitable for students in Grades 6-8.

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