To solve the inequality \(-7 > 20 + c\), we need to isolate the variable \(c\).

### Steps:
1. Subtract 20 from both sides:
   \[
   -7 - 20 > c
   \]
   This simplifies to:
   \[
   -27 > c
   \]

This means \(c\) must be less than \(-27\), so the solution is:
\[
c < -27
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. What happens when you multiply or divide inequalities by negative numbers?
2. How do you solve compound inequalities involving "and" or "or"?
3. What is the difference between strict inequalities and non-strict inequalities?
4. How would you graph the solution \(c < -27\) on a number line?
5. How does solving an inequality differ from solving an equation?

**Tip:** When solving inequalities, remember that multiplying or dividing both sides by a negative number reverses the inequality sign.

Learn how to solve the inequality -7 > 20 + c by isolating the variable c. This detailed guide walks through the key algebraic steps involved in solving inequalities, including subtraction and understanding inequality properties. Suitable for students in Grades 6-8.

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