1. ©G Dear2008 – Not to be sold/Free to use
Mathematic
(Preliminary)
Equations
Inequations
Stage 6 - Year 12
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©G Dear2008 – Not to be sold/Free to use

2. Equations < > ≤ ≥ Inequations
Inequations, (except for x and ÷ by negative numbers), is similar to equations.
Symbols
<
>
means less than
means greater than ≤ ≥
means less than
or equal to
means greater than
or equal to

3. These can all be graphed on the number line.
Equations
Inequations Rule
Do the same (opposite) operations to both sides of the inequation.
Example 1
x + 7 ≤ 11
Example 2
m - 2 > 5
Example 3
3b < 15
Example 4
k ÷ 4 ≥ 3 -7 +2 ÷3 x4
x ≤ 4
m > 7
b < 5
k ≥ 12
These can all be graphed on the number line. 4 7 5 12
Solid circle for equal
Solid circle for equal
Open circle for not equal
Open circle for not equal

4. Equations Inequations
When x and ÷ by negative numbers, change the direction of the inequality sign
Examples x -3
≥ -2 __
1. -3x < 27
x(-3)
÷(-3)
x > -9
x ≤ 6