1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Solving 1 / x > 2 Stage 6 - Year 11 Mathematic Extension 1 (Preliminary)

2 Solving 1y1y < 2 First: x ≠ 0 Now solve 1y1y = 2 X yX y X yX y 2y = 1 y = 1212 Using the Number Line 012 End of Slide

3 Solving 1y1y < 2 Test point y < y1y < 2 Test y = -1 1 < 2 -1 < 2True - Plot End of Slide

4 Solving 1y1y < 2 Test point 0 < y < ½ 012 1y1y < 2 Test y = < 2 4 < 2 False – Don’t Plot End of Slide

5 Solving 1y1y < 2 Test point y > ½ 012 1y1y < 2 Test y = < 2 1 < 2True - Plot End of Slide

6 Solving 1y1y < Solution y < 0 and y > 0.25 End of Slide

7 Solving 2 m-1 ≥ 3 First: m ≠ 1 Now solve = 3 X (m-1) 3m - 3 = 2 m = 5353 Using the Number Line m-1 3m = 5 = 3 End of Slide

8 Solving 2 m-1 ≥ Test point m < 1 Test m = ≥ 3 -2 ≥ 3 False – Don’t Plot End of Slide

9 Solving 2 m-1 ≥ Test point 1 < m < 5 / 3 Test m= ≥ 3 4 ≥ 3 True - Plot End of Slide

10 Solving 2 m-1 ≥ 3 Test point m > 5 / 3 Test m = ≥ 3 2 ≥ 3 False – Don’t Plot 120 End of Slide

11 Solving 2 m-1 ≥ 3 Solution 1 < m1 < m 120 ≤ 5/3 End of Show