1. 1 Definitions Press Ctrl-A ©2009 – Not to be sold/Free to use Stage 5 Year 9

2. 2 Inequations work almost exactly in the same way as ordinary equations. Instead of having an equals sign They use and inequality sign.

3. 3 The inequality signs are... Greater than >

4. 4 The inequality signs are... Less than <

5. 5 Inequality Signs The inequality signs are... Greater than or equal to > -

6. 6 Inequality Signs The inequality signs are... Less than or equal to < -

7. 7 Inequality Signs Solve the following inequation m + 3 > 5 -3 m > 2 The inequation can be graphed on number line. -5-4-3-2012345 Use an open circle as the inequation has no equal sign. Draw arrow in the direction of the inequality sign.

8. 8 Inequality Signs Solve the following inequation b - 2 > -5 +2 b > -3 Graph on number line. -5-4-3-2012345 Use an open circle Draw arrow in the direction of the inequality sign.

9. 9 Inequality Signs Solve the following inequation 4w ≤ 12 ÷4 w ≤ 3 Graph on number line. -5-4-3-2012345 Use a CLOSED circle Because of equals sign. Draw arrow in the direction of the inequality sign.

10. 10 Inequality Signs Solve the following inequation h ÷ 2 ≥ -1 x2 h ≥ -2 Graph on number line. -5-4-3-2012345 Use an CLOSED circle Because of equals sign. Draw arrow in the direction of the inequality sign.

11. 11 Solving Inequalities – One Steppers 1 1. k ÷ 4 ≥ 1 x4 2. h + 2 < -1 3. 3p > 6 k ≥ 4 4 4. m - 2 ≤ -1 5. 7z > 49 6. w ÷ 2 ≥ 9 -2 h < -3 -3 ÷3 p > 2 2 +2 m ≤ 1 1 ÷7 z > 7 7 x2 w ≥ 18 18 Solve and graph the following inequations.

12. 12 Solving Inequalities – One Steppers 2 7. b ÷ 6 < 4 x6 8. n + 7 ≥ 9 9. 4p > -24 b < 24 24 10. c - 6 ≥ -1 11. 5z ≤ 490 12. w ÷ 5 > 9 -7 n ≥ 2 2 ÷4 p > -6 -6 +6 c ≥ 5 5 ÷5 z ≤ 98 98 x5 w > 45 45 Solve and graph the following inequations.

13. 13 2b < 10 Solving Inequalities – Two Steppers 1 1. 2b - 6 < 4 +6 2. 3n + 7 ≥ 10 3. 4p – 1 > -9 5 4. 5c - 6 ≥ 9 5. 7z + 1 ≤ 36 6. 6w - 5 > 7 -7 3n ≥ 3 1 +1 4p > -8 -2 +6 5c ≥ 15 3 7z ≤ 35 5 +5 6w > 12 2 ÷2 b < 5 ÷3 n ≥ 1 ÷4 p > -2 ÷5 c ≥ 3 ÷7 z ≤ 5 ÷6 w > 2 Solve and graph the following inequations.

14. 14 4r > 8 Solving Inequalities – Two Steppers 2 7. 4r - 5 > 3 +5 8. 2p + 5 ≤ 13 9. 5p – 1 > -4 2 10. 3f - 1 < 8 11. 2z + 1 ≥ 37 12. 4w - 5 ≤ 7 -5 2p ≤ 8 4 +1 5p > -5 +1 3f < 9 3 2z ≥ 36 18 +5 4w ≤ 12 3 ÷4 r > 2 ÷3 p ≤ 4 ÷5 p > -1 ÷3 f < 3 ÷7 z ≥ 18 ÷6 w ≤ 3 Solve and graph the following inequations.

15. 15 4w ≤ 16 4w + 20 ≤ 38 z ≥ 6 2z + 2 ≥ 14 2z ≥ 12 3f < 12 3f – 3 < 9 p > 0 5p > 0 5p - 5 > -5 3. 5(p – 1) > -5 2p + 10 ≤ 12 2p ≤ 2 4r – 10 > 6 Solving Inequalities – Brackets 1 1. 4(r – 5) > 6 -10 2. 2(p + 5) ≤ 12 4 4. 3(f – 1) < 9 5. 2(z + 1) ≥ 14 6. 4(w + 5) ≤ 38 -5 -20 1 +5 0 +3 4 -2 6 -20 +5 4 ÷4 4r > 16 ÷2 ÷5 ÷3 ÷7 ÷4 r > 4 +10 p ≤ 1 ÷2 f < 4w ≤ 4 Solve and graph the following inequations.