What is the negation of the following inequality?
p>8

The negation of the inequality \( p > 8 \) is:

\[
p \leq 8
\]

This means that instead of \( p \) being strictly greater than 8, it now represents that \( p \) is less than or equal to 8.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the negation of \( p \geq 5 \)?
2. How do you negate a compound inequality?
3. What is the solution set for \( p \leq 8 \)?
4. How does negating inequalities affect their solution on a number line?
5. Can inequalities be negated in a system of inequalities?

**Tip:** When negating inequalities, remember to switch the inequality sign and adjust for inclusivity (e.g., > becomes ≤).

What is the negation of the following inequality? p > 8

Learn how to negate the inequality p > 8 and understand the resulting expression p ≤ 8. This problem covers algebraic concepts of inequalities and negation, suitable for students in Grades 6-8.

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