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

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Presentation transcript:

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

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

3 The inequality signs are... Greater than >

4 The inequality signs are... Less than <

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

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

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

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

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

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

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

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

13 2b < 10 Solving Inequalities – Two Steppers b - 6 < n + 7 ≥ p – 1 > c - 6 ≥ z + 1 ≤ w - 5 > n ≥ p > c ≥ z ≤ w > 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 4r > 8 Solving Inequalities – Two Steppers r - 5 > p + 5 ≤ p – 1 > f - 1 < z + 1 ≥ w - 5 ≤ p ≤ p > f < 9 3 2z ≥ w ≤ 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 4w ≤ 16 4w + 20 ≤ 38 z ≥ 6 2z + 2 ≥ 14 2z ≥ 12 3f < 12 3f – 3 < 9 p > 0 5p > 0 5p - 5 > (p – 1) > -5 2p + 10 ≤ 12 2p ≤ 2 4r – 10 > 6 Solving Inequalities – Brackets (r – 5) > (p + 5) ≤ (f – 1) < (z + 1) ≥ (w + 5) ≤ ÷4 4r > 16 ÷2 ÷5 ÷3 ÷7 ÷4 r > p ≤ 1 ÷2 f < 4w ≤ 4 Solve and graph the following inequations.