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Solving Solving 11//xx >> 22

Stage 6 - Year 11Stage 6 - Year 11

Mathematic Extension 1(Preliminary)

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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

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Solving 1y< 2

Test point y < 00 1 2-1

1y< 2

Test y = -1

1-1

< 2

-1 < 2 True - PlotEnd ofSlide

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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

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Solving 1y< 2

Test point y > ½0 1 2-1

1y< 2

Test y = 1

11

< 2

1 < 2 True - PlotEnd ofSlide

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Solving 1y< 2

0 1 2-1

Solution

y < 0 and y > 0.25

End ofSlide

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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

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Solving

2m-1

≥ 3

1 20

Test point m < 1 Test m = 0

20-1

≥ 3

-2 ≥ 3

False – Don’t Plot

End ofSlide

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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

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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

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Solving

2m-1

≥ 3

Solution

1 < m

1 20

≤ 5/3

End ofShow