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WEEK 4.
TOPIC: LINEAR INEQUALITIES IN ONE VARIABLE
CONTENT:
- Inequality symbols and meaning.
- Solving linear inequalities in one variable
- Multiplication and division by negative numbers
- Combining inequalities (range of values)
- Graphical representations of solutions on number line
- Word problems.
INEQUALITIES
In mathematics, we use the equal sign, = to show that quantities are the same. How ever, very often, quantities are different, or unequal. The inequalities symbols are as follows:
≠ unequal to
< less than
> greater than
≤ less than or equal to
≥ greater than or equal to
Take a and b to be any number points on number line below:
If a = +3 and b = +3
a and b have the same position on the number line.
Hence, a = b
But if a = 1
and b = -4
then a b
or b a
A linear inequality is an open sentence with an inequality sign.
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