# Number lines

Source: https://projectgcse.co.uk/maths/number/number_lines

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Inequalities can also be represented on number lines. Draw a number line and above the line draw a line for each inequality, over the numbers for which it is true. At the end of these lines, draw a circle. The circle should be filled in if the inequality can equal that number and left unfilled if it cannot.

Example:
On the number line below show the solution to these inequalities.
-7 < 2x - 3 < 3

This can be split into the two inequalities:
-7 < 2x - 3 and 2x - 3 < 3
therefore -4 < 2x and 2x < 6
therefore -2 < x and x < 3