Subjects algebra

Inequality Simplify 75Fc49

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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:** $$3 + 12b$$