JSS2 Second Term Mathematics Lesson Note – Linear Inequalities in One Variable

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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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