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# Understanding Inequalities

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## Mr Mattock

on 10 May 2016

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#### Transcript of Understanding Inequalities

Understanding Inequalities
Starter
Strict inequalities
The answer is definitely less than 1.
Inclusive inequalities
L.O. - To interpret inequalities in different ways, and represent inequalities in different ways.
If a mathematician wants to say two things (call them x and y) are the same they use the symbol '='.

How does a mathematician say:
One thing is definitely less than another?
One thing is definitely not more than another?
A third thing (call it w) is strictly between the two things?
A third thing is between the two things?
The two things are always the same?
x < 1
..., -3, -2, -1, 0,
"integer"
The answer is definitely more than -2
x > -2
-1, 0, 1, 2, ....
"integer"
The answer is definitely not more than -1.
..., -3, -2, -1.
'integer'
The answer is definitely not less than -2.
'integer'
-2, -1, 0, 1, ....
Between inequalities
The answer is between -2 and 1.
'integer'
-2, -1, 0, 1
The answer is strictly between -3 and 3
3 > y > -3
'integer'
-2, -1, 0, 1, 2
More between inequalities
-6, -5, -4
4, 5, 6, 7
Main Activity
Match the algebraic inequalities with the correct
representations on a number line AND the correct
integers satisfied by the inequality.
Left
Right
Key things
Coloured in circle = < or >, means include the number.

Clear circle = < or >, means don't include the number.
Examples
3x + 4 < 12

1 < 3x + 4 < 12
Inequations
5x - 3 > 9

12 > 5x - 3 > 9
Examples
3x + 4 < 12

1 < 3x + 4 < 12
3x < 8

x < 2
2
3
-3 < 3x < 8

-1 < x < 2
2
3
Inequations
5x - 3 > 9

12 > 5x - 3 > 9
5x > 12

x > 2.4

15 > 5x > 9

3 > x > 2.4
Key
Examples

Activities
Activity