To solve the inequality \( 3 \geq -7 - s \), let's go step by step:

1. Start by isolating the variable \( s \). To do this, add \( 7 \) to both sides of the inequality:
   \[
   3 + 7 \geq -s
   \]
   Simplifying the left-hand side:
   \[
   10 \geq -s
   \]

2. Now, to isolate \( s \), multiply both sides of the inequality by \( -1 \). Remember, when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign changes:
   \[
   -10 \leq s
   \]
   This simplifies to:
   \[
   s \geq -10
   \]

So the solution is:
\[
s \geq -10
\]

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How do you solve inequalities with variables on both sides?
2. What happens when you divide both sides of an inequality by a negative number?
3. Can you graph the solution \( s \geq -10 \) on a number line?
4. What are the properties of inequalities compared to equalities?
5. How do you solve a system of inequalities?

**Tip:** Always remember to flip the inequality sign when multiplying or dividing by a negative number!

Learn how to solve the inequality 3 ≥ -7 - s using algebraic operations and the property of inequalities. This problem is a great introduction to solving inequalities with variables and covers important concepts like changing the inequality sign when multiplying by a negative number. Suitable for Grades 7-9.

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