1 press ctrl-a ©g dear 2010 – not to be sold/free to use solving 1 / x > 2 stage 6 - year 11...
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![Page 1: 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)](https://reader036.vdocuments.us/reader036/viewer/2022082712/56649e6f5503460f94b6c37e/html5/thumbnails/1.jpg)
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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)
![Page 2: 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)](https://reader036.vdocuments.us/reader036/viewer/2022082712/56649e6f5503460f94b6c37e/html5/thumbnails/2.jpg)
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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
![Page 3: 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)](https://reader036.vdocuments.us/reader036/viewer/2022082712/56649e6f5503460f94b6c37e/html5/thumbnails/3.jpg)
3
Solving 1y< 2
Test point y < 00 1 2-1
1y< 2
Test y = -1
1-1
< 2
-1 < 2 True - PlotEnd ofSlide
![Page 4: 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)](https://reader036.vdocuments.us/reader036/viewer/2022082712/56649e6f5503460f94b6c37e/html5/thumbnails/4.jpg)
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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
![Page 5: 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)](https://reader036.vdocuments.us/reader036/viewer/2022082712/56649e6f5503460f94b6c37e/html5/thumbnails/5.jpg)
5
Solving 1y< 2
Test point y > ½0 1 2-1
1y< 2
Test y = 1
11
< 2
1 < 2 True - PlotEnd ofSlide
![Page 6: 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)](https://reader036.vdocuments.us/reader036/viewer/2022082712/56649e6f5503460f94b6c37e/html5/thumbnails/6.jpg)
6
Solving 1y< 2
0 1 2-1
Solution
y < 0 and y > 0.25
End ofSlide
![Page 7: 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)](https://reader036.vdocuments.us/reader036/viewer/2022082712/56649e6f5503460f94b6c37e/html5/thumbnails/7.jpg)
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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
![Page 8: 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)](https://reader036.vdocuments.us/reader036/viewer/2022082712/56649e6f5503460f94b6c37e/html5/thumbnails/8.jpg)
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
![Page 9: 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)](https://reader036.vdocuments.us/reader036/viewer/2022082712/56649e6f5503460f94b6c37e/html5/thumbnails/9.jpg)
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
![Page 10: 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)](https://reader036.vdocuments.us/reader036/viewer/2022082712/56649e6f5503460f94b6c37e/html5/thumbnails/10.jpg)
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
![Page 11: 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)](https://reader036.vdocuments.us/reader036/viewer/2022082712/56649e6f5503460f94b6c37e/html5/thumbnails/11.jpg)
11
Solving
2m-1
≥ 3
Solution
1 < m
1 20
≤ 5/3
End ofShow