2. 1. 6x < 20 2. -5(2x-1) + 3 < -2 -10x + 5 + 3 < -2 -10x + 8 < -2 - 8- 8 -10x < -10-10 x > 1 FLIP!!!

4. Algebra II

5.  To solve & graph inequalities  To write & solve compound inequalities

6. ALWAYS FLIP THE INEQUALITY SIGN WHEN YOU DIVIDE BY – #

7. 1. 10+x > 7+2x or 4x–9 > x+6 -7 -7+9 +9 3 + x > 2x or 4x > x + 15 -x-x -x -x 3 > x or 3x > 15 33 x 5

8. 2. x–7 x+6 +x +x-x -x 2x – 7 6 +7 +7 -6 -6 2x 0 2 26 6 x 00 < x < 8

9. 3. 4x – 3 > 13 and 4x + 10 ≥ 22 +3+3 - 10 -10 4x > 16&4x ≥ 12 4 4 x > 4 and x ≥ 3 Need OVERLAP because AND x > 4

11. 5. -8x + 2 > - 22 and 9x – 7 > 47 -2 -2+7 +7 -8x > -24and9x > 54 -8-8 9 9 x 6 Not Possible!! No Solution FLIP!!!

12. 6. -8 < x – 9 < - 12 +9 +9+9 1 < x < -3 Not Possible!! No Solution

13. FLIP!!!

14. 8. x + 8 > 2 or7x – 5 > 51 - 8 - 8 + 5 +5 x > - 6or 7x > 56 7 7 x > - 6 or x > 8 Either ORDon’t need overlap x > - 6

15. FLIP!!!

18. 12. 10+6x > 22 and5x+3 < 8 -10 -10 -3 -3 6x > 12 &5x < 5 6 65 5 x > 2 and x < 1 No Solution

19. 13. 8 + 6x > -16 or9x + 1 > 91 -8 -8 -1-1 6x > - 24or9x > 90 6 69 9 x > - 4orx > 10 x > - 4

20. 14. 3x – 4 > 5 and -3x – 9 < 21 + 4 +4 +9 +9 3x > 9and-3x < 30 3 3 - 3 -3 x > 3andx > -10 x > 3

21.  A contractor estimated that her expenses for a construction project would be between $700,000 and $750,000. She has already spent $496,000. How much more can she spend and remain within her estimate?  Explain how you came up with your answer