Question: User: 1+8m>0
1. **State the problem:** Solve the inequality $$1 + 8m > 0$$ for the variable $$m$$.
2. **Formula and rules:** To solve inequalities, we isolate the variable on one side. When dividing or multiplying by a positive number, the inequality direction remains the same.
3. **Isolate $$m$$:**
$$1 + 8m > 0$$
Subtract 1 from both sides:
$$1 + 8m - 1 > 0 - 1$$
$$8m > -1$$
4. **Divide both sides by 8:**
$$\frac{\cancel{8}m}{\cancel{8}} > \frac{-1}{8}$$
$$m > -\frac{1}{8}$$
5. **Interpretation:** The solution is all values of $$m$$ greater than $$-\frac{1}{8}$$.
**Final answer:** $$m > -\frac{1}{8}$$