Subjects algebra

Inequality Solution Fd04A3

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1. **State the problem:** Solve the inequality $$-\frac{3}{8} < u - 2$$ for $$u$$. 2. **Recall the additive property of inequality:** You can add the same number to both sides of an inequality without changing the inequality's direction. 3. **Add 2 to both sides:** $$-\frac{3}{8} + 2 < u - 2 + 2$$ 4. **Simplify the right side:** $$-\frac{3}{8} + 2 < u$$ 5. **Convert 2 to a fraction with denominator 8:** $$2 = \frac{16}{8}$$ 6. **Add the fractions on the left side:** $$-\frac{3}{8} + \frac{16}{8} = \frac{13}{8}$$ 7. **Final inequality:** $$\frac{13}{8} < u$$ 8. **Interpretation:** The solution is all $$u$$ values greater than $$\frac{13}{8}$$. **Answer:** $$u > \frac{13}{8}$$