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Let me help you solve and explain these inequalities step by step. I'll start with a few and we can proceed further based on your preference.

### Problem 7: \( x - 4 \leq -5 \)
1. Add 4 to both sides:
   \[
   x \leq -5 + 4
   \]
   \[
   x \leq -1
   \]
**Solution:** \( x \leq -1 \)

---

### Problem 8: \( 1 \leq x - 8 \)
1. Add 8 to both sides:
   \[
   1 + 8 \leq x
   \]
   \[
   9 \leq x
   \]
**Solution:** \( x \geq 9 \) (reversing the order for clarity)

---

### Problem 9: \( 6 \geq m - 1 \)
1. Add 1 to both sides:
   \[
   6 + 1 \geq m
   \]
   \[
   7 \geq m
   \]
**Solution:** \( m \leq 7 \)

---

### Problem 10: \( c - 12 > -4 \)
1. Add 12 to both sides:
   \[
   c > -4 + 12
   \]
   \[
   c > 8
   \]
**Solution:** \( c > 8 \)

---

### Problem 11: \( r + 4 < 5 \)
1. Subtract 4 from both sides:
   \[
   r < 5 - 4
   \]
   \[
   r < 1
   \]
**Solution:** \( r < 1 \)

Would you like me to continue solving the rest? Let me know if you need explanations, graphing, or help with specific inequalities.

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#### Follow-Up Questions:
1. Do you need step-by-step graphing for these solutions?
2. Should I solve more inequalities or focus on a specific one?
3. Would you like tips on solving inequalities with fractions or decimals?
4. Do you want the solutions expressed in interval notation?
5. Would visual examples (number lines) for these inequalities be helpful?

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

In Exercises 7-20, solve the inequality and graph the solution. Problems include inequalities such as x - 4 ≤ -5, 1 ≤ x - 8, and more.

Learn how to solve inequalities step-by-step and graph their solutions. Includes examples such as x - 4 ≤ -5 and 1 ≤ x - 8, with clear explanations and tips for Grades 6-9.

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