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Press Ctrl-APress Ctrl-A©G Dear 2010 – Not to be sold/Free to use
Solving Solving 11//xx >> 22
Stage 6 - Year 11Stage 6 - Year 11
Mathematic Extension 1(Preliminary)
2
Solving 1y< 2 First: x ≠ 0
Now solve 1y
= 2 X y X y
2y = 1
y = 12
Using the Number Line
0 1 2-1
End ofSlide
3
Solving 1y< 2
Test point y < 00 1 2-1
1y< 2
Test y = -1
1-1
< 2
-1 < 2 True - PlotEnd ofSlide
4
Solving 1y< 2
Test point 0 < y < ½ 0 1 2-1
1y< 2
Test y = 0.25
10.25
< 2
4 < 2False – Don’t PlotEnd ofSlide
5
Solving 1y< 2
Test point y > ½0 1 2-1
1y< 2
Test y = 1
11
< 2
1 < 2 True - PlotEnd ofSlide
6
Solving 1y< 2
0 1 2-1
Solution
y < 0 and y > 0.25
End ofSlide
7
Solving
2m-1
≥ 3 First: m ≠ 1
Now solve
= 3
X (m-1)
X (m-1)
3m - 3 = 2
m =
53
Using the Number
Line
1 20
2m-1
3m = 5
= 3
End ofSlide
8
Solving
2m-1
≥ 3
1 20
Test point m < 1 Test m = 0
20-1
≥ 3
-2 ≥ 3
False – Don’t Plot
End ofSlide
9
Solving
2m-1
≥ 3
1 20
Test point 1 < m < 5/3
Test m= 1.5
21.5-1
≥ 3
4 ≥ 3
True - PlotEnd ofSlide
10
Solving
2m-1
≥ 3
Test point m > 5/3 Test m = 2
22-1
≥ 3
2 ≥ 3
False – Don’t Plot
1 20
End ofSlide
11
Solving
2m-1
≥ 3
Solution
1 < m
1 20
≤ 5/3
End ofShow