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2-1 Solving Inequalities in One Variable Guided Notes and Practice WALT…to solve simple inequalities in one variable. Properties of Order Let a, b, and c be any real numbers. Comparison Property: Transitivity Property: Addition Property: Multiplication Property: Transformation that Produce Equivalent Inequalities 1. 2. 3. 4. **To check whether the direction of the inequality in your answer is correct, choose a test point and see if it satisfies the given inequality.** HOMEWORK Page 62-63 (1-31 odd, mixed review) Guided Examples Solve and Graph 3 1. 3𝑥 + 16 < 7 2. 11 − 2 𝑟 > −4 3. 3(4𝑧 − 1) > 2(6𝑧 − 5) 4. 3 − 2(𝑞 − 1) < 5 5. −(10 − 𝑟) < 𝑟 − 15 7. − 2 𝑎 − 19 > −15 ON YOUR OWN 4 4 6. 𝑘 − 8 > 8− 5𝑘 5 1 8. 8 − (2𝑏 − 3) < 2𝑏 − 3 9. 𝑝 − (7 − 𝑝) > 2𝑝 + 1 10. 5 − 2(−𝑧 − 4) > 𝑧 − (𝑧 − 1) 11. 2.7(3𝑣 − 8) > 7.2(8𝑣 − 3) HOMEWORK Page 62-63 (1-31 odd, mixed review)