We have the compound inequality:

\[
-13 > q + 2 \quad \text{or} \quad 5q \geq -15
\]

### Solve the first inequality:
\[
-13 > q + 2
\]
Subtract 2 from both sides:
\[
-13 - 2 > q
\]
\[
-15 > q \quad \text{or} \quad q < -15
\]

### Solve the second inequality:
\[
5q \geq -15
\]
Divide both sides by 5:
\[
q \geq -3
\]

### Combined solution:
- The first part says \( q < -15 \).
- The second part says \( q \geq -3 \).

Since this is an "or" inequality, the solution is the union of these two conditions. Therefore, the solution is:

\[
q < -15 \quad \text{or} \quad q \geq -3
\]

Would you like more details or have any questions?

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Here are 5 related questions you might find interesting:
1. How do you solve compound inequalities involving "and" instead of "or"?
2. Can you represent the solution on a number line?
3. How would the solution change if it was \(5q > -15\) instead?
4. What are the general rules for solving inequalities with multiplication or division by negative numbers?
5. How do you solve inequalities with absolute values?

**Tip**: Always reverse the inequality sign when multiplying or dividing both sides by a negative number.

This step-by-step guide explains how to solve the compound inequality -13 > q + 2 or 5q ≥ -15. Learn key algebraic concepts such as solving and interpreting inequalities, suitable for students in Grades 8-10.

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