1.6 “Solving Linear Inequalities”Simple Inequalities:1. x

2. 15 – 3x ˃ 3

3. 13 ˂ -3y + 4

Examples – Variables on Both Sides4. 5x + 2 ˃ 7x - 4 5. 17 – 6x ≤ 25 – 3x

Examples – Compound Inequalities“And” Compound Inequalities:

6. – 4 6x – 10 14

7. – 8 ≤ – x – 5 ≤ 6

More Compound Inequalities“Or” Compound Inequalities:

8. 3x + 5 11 or 5x – 7 23

9. 2x – 3 ≤ – 4 or 3x + 1 ≥ 4

Word Problems10. You have $50 to spend at the fair. It costs $20 for admission and the game you want to play is $1.50. Write and inequality and solve this situation.

11. Sarah budgeted $66 a month to spend on yoga classes. The yoga studio charges $22 per month membership fee, plus $5.50 per class attended. How many classes can she take each month? Write and inequality and solve this situation.