Subjects algebra

Linear Equations Inequalities

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1. **Solve the equation** $x - 3.5 = 4.75$. Start by isolating $x$: $$x = 4.75 + 3.5$$ $$x = 8.25$$ 2. **Solve the equation** $16n = 48$. Divide both sides by 16: $$n = \frac{48}{16}$$ $$n = 3$$ 3. **Solve the inequality** $6x \geq 36$. Divide both sides by 6 (positive number, inequality direction stays the same): $$x \geq \frac{36}{6}$$ $$x \geq 6$$ 4. **Solve the inequality** $x - 12.5 < 25$. Add 12.5 to both sides: $$x < 25 + 12.5$$ $$x < 37.5$$ **Regarding the scenario with the area "12 1/2 square feet" being smaller than 25 square feet:** The mixed number $12 \frac{1}{2}$ equals $12.5$, which is indeed less than 25, so the statement is correct. **Summary of answers:** - $x = 8.25$ - $n = 3$ - $x \geq 6$ - $x < 37.5$ - The area $12 \frac{1}{2}$ square feet is less than 25 square feet, which is true.