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# 3 2, 3-3 solving one-step inequalities

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### 3 2, 3-3 solving one-step inequalities

1. 1. 3-2/3-3 Solving One-Step Inequalities
2. 2. Properties of Inequalities • Addition Property: • If you add the same number to both sides of an inequality, it remains true.
3. 3. • Subtraction Property: • If you subtract the same number from both sides of an inequality, it remains true.
4. 4. • Multiplication/Division Property (Case 1): • If you multiply/divide both sides of an inequality by the same positive number, it remains true.
5. 5. • Multiplication/Division Property (Case 2): • If you multiply/divide both sides of an inequality by the same negative number, the inequality symbol must be reversed to remain true.
6. 6. Solving One-Step Inequalities • Just like solving equations! • Do opposite operations to get variable alone. • BE CAREFUL! ▫ If you multiply or divide by a negative number, you must reverse the inequality symbol!
7. 7. Example 1 • Solve x – 6 ≥ 10. Graph the solution.
8. 8. You Try! • Solve b – 2 > -9. Graph the solution.
9. 9. Example 2 • Solve -8 > 1.4 + x. Graph the solution.
10. 10. You Try! • Solve k + 5 ≤ -3. Graph the solution.
11. 11. Example 3 • Solve . Graph the solution.
12. 12. You Try! • Solve 3x ≤ 24. Graph the solution.
13. 13. Example 4 • Solve -7y ≤ -35. Graph the solution.
14. 14. You Try! • Solve . Graph the solution.