The expression "r less than the difference of p and q" can be translated into a mathematical inequality or equation.

To break it down:
1. The "difference of p and q" is represented as \( p - q \).
2. "r less than" this difference means \( r \) is smaller than the difference, which gives the inequality:

\[
r < p - q
\]

This inequality states that \( r \) is less than \( p - q \).

Would you like further details or have any questions?

Here are 5 related questions to explore further:
1. How can this inequality be represented graphically on a number line?
2. What happens if we reverse the inequality to \( r > p - q \)?
3. How do we solve for \( r \) if other variables are given specific values?
4. What if \( p \) and \( q \) are expressed as functions, e.g., \( p(x) \) and \( q(x) \)?
5. How does this inequality change if we add constraints on \( p \) and \( q \) (e.g., \( p > q \))?

**Tip**: Always remember to pay close attention to the wording in inequalities, as small changes like "greater" or "less" significantly impact the solution!

Explore how to solve the inequality 'r less than the difference of p and q' using algebraic principles. This problem focuses on inequalities and algebraic expressions, suitable for students in Grades 6-8. Learn the step-by-step breakdown and how to interpret the result.

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