Inequalities on number line
A statement involving a variable and a sign of inequality (viz. < , ≤ , > or ≥) is called an inequality
. A statement of inequality between two expressions consisting of a single variable, say x, of highest power 1, is called a linear inequality in one variable
. It is ussually written in any of the following forms:
where a ≠ 0;
Linear inequalities are solved much the same way as linear equations are solved, with one important exception: when multiplying or dividing both sides of an inequality by a negative number, the inequality sign must be reversed.
What inequality does this number line show?
Write your answer starting with x (for example, x<3).
A filled-in circle includes the number it is located on.
An open circle does not include the number it is located on.
We want to write an inequality that says
can be anything shown by the arrow and circle.
The open circle located on 6 means that
cannot be equal to 6. The arrow pointing to the right means that
can be any number greater than 6.
can be any number greater than 6, the inequality is