Inequalities and number lines

Inequalities can be represented on a number line.

And as we have already shown, inequalities can be represented by arrows too:

And a number line can ONLY mean a line with a number on it.

And to represent an equality equation on a number line read what the inequality expression says. 

Examples

1. Represent `x=2` on a number line

This reads `x=2` ONLY

2.  On a number line represent

`x>=2`

This reads as `x`  is greater than OR equal to 2

3.  On a number line represent

 `x<=2`

This reads as `x` is less than OR equal to 2

4.  On a number line represent

 `x>2`

This reads `x` is greater than 2

5.  On a number line represent

`x<2`

This reads `x` is less than 2

Using the above examples will allow you to work out all future problems.

6.  Write down the inequality shown on the number line below

The circle above the 3 shows `x` is less than or equal to 3

Answer:

 `x<=3`