1.6 Solving Linear Inequalities

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1.6 Solving Linear Inequalities

Graphing One Variable Inequalities
• Graph x < 3

• Graph x ≥ -2

Solving 1-Variable Inequalities
• Solve 5y – 8 12

• Graph the solution.

• Solve 2x + 1 6x – 1

Graph the solution.

Your Turn!
• Solve 7x + 9 10x – 12

• Graph the solution.

“And” Compound Inequalities
• Solve -2 3t – 8 10

• Graph the solution.

Your Turn!
• Solve -12 3x – 3 15

• Graph the solution.

“Or” Compound Inequalities
• Solve 2x + 3 < 5 or 4x – 7 > 9

• Graph the solution.

Your Turn!
• Solve -2x + 7 < 3 or 3x + 5 < 2

• Graph the solution.

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1.6 Solving Linear Inequalities

1. 1.6 Solving Linear Inequalities

2. Graphing One Variable Inequalities • Graph x < 3 • Graph x ≥ -2

3. Solving 1-Variable Inequalities • Solve 5y – 8 12 • Graph the solution.

4. • Solve 2x + 1 6x – 1 Graph the solution.

5. Your Turn! • Solve 7x + 9 10x – 12 • Graph the solution.

6. “And” Compound Inequalities • Solve -2 3t – 8 10 • Graph the solution.

7. Your Turn! • Solve -12 3x – 3 15 • Graph the solution.

8. “Or” Compound Inequalities • Solve 2x + 3 < 5 or 4x – 7 > 9 • Graph the solution.

9. Your Turn! • Solve -2x + 7 < 3 or 3x + 5 < 2 • Graph the solution.