Subjects algebra

Inequality M 0A632D

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1. **Problem:** Solve the inequality $m + 11 + 8m > 29$. 2. **Combine like terms:** $$m + 8m + 11 > 29$$ $$9m + 11 > 29$$ 3. **Subtract 11 from both sides:** $$9m + \cancel{11} - \cancel{11} > 29 - 11$$ $$9m > 18$$ 4. **Divide both sides by 9:** $$\frac{9m}{\cancel{9}} > \frac{18}{\cancel{9}}$$ $$m > 2$$ 5. **Answer:** The solution is all values of $m$ such that $m > 2$. --- Since multiple problems were asked, the total number of distinct problems is 12 (a through e plus the 7 additional numbered problems and compound inequalities). However, per instructions, only the first problem is solved here.