1. **State the problem:** Solve the inequality $$10 \geq \frac{m}{10}$$ and graph its solution.
2. **Formula and rules:** To solve inequalities, we isolate the variable on one side. Multiplying or dividing both sides by a positive number keeps the inequality direction the same.
3. **Solve the inequality:**
$$10 \geq \frac{m}{10}$$
Multiply both sides by 10:
$$10 \times 10 \geq \frac{m}{10} \times 10$$
$$100 \geq m$$
Or equivalently:
$$m \leq 100$$
4. **Interpretation:** The solution is all values of $$m$$ less than or equal to 100.
5. **Graph:** On a number line, place a closed circle at 100 and shade to the left (towards smaller numbers).
**Final answer:** $$m \leq 100$$
2. **State the problem:** Simplify the expression $$\frac{a}{h} + 4ab$$ given $$a=3$$ and $$h=1$$.
3. **Substitute values:**
$$\frac{3}{1} + 4 \times 3 \times b = 3 + 12b$$
4. **Simplified expression:**
$$3 + 12b$$
**Final answer:** $$3 + 12b$$
Inequality Simplify 75Fc49
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