To solve the inequality \( 5p + 8 > 28 \):

1. Start by isolating the term with \( p \). Subtract 8 from both sides:

\[
5p + 8 - 8 > 28 - 8
\]

\[
5p > 20
\]

2. Now, divide both sides by 5 to solve for \( p \):

\[
p > \frac{20}{5}
\]

\[
p > 4
\]

Thus, the solution is \( p > 4 \).

### Would you like more details or have any questions?

Here are 5 related questions to explore:
1. What happens if you solve the inequality \( 5p + 8 \geq 28 \)?
2. How would the solution change if the inequality were \( 5p + 8 < 28 \)?
3. Can you graph the inequality \( p > 4 \) on a number line?
4. How do you solve a double inequality like \( 2p + 3 < 7 \text{ and } 4p - 2 > 10 \)?
5. How does solving an inequality differ from solving an equation?

### Tip: When dividing or multiplying both sides of an inequality by a negative number, remember to reverse the inequality sign.

Learn how to solve the linear inequality 5p + 8 > 28 with a step-by-step explanation. This solution involves simplifying expressions and understanding the properties of inequalities. Ideal for students in Grades 6-8.

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