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ULTIMATE MATHS

WHERE MATHS IS AT YOUR FINGERTIPS!

1.
The first inequality is x<2. There is a dot on the two that is not filled in to show that it is not equal to 2. The arrow going down the number line
shows that x is any number smaller than 2.
2.
The second inequality is x>-3. This time we again have the dot which is not filled in and an arrow going up the number line to show that x is
greater than -3.
3.
The third inequality is x≤6. The dot is filled in this time showing that x can be equal to 6 and the arrow going down the number line shows that it
can also be smaller than 6.
4.
The fourth inequality is x≥1. The dot is filled in again since x can also be equal to one. The line going up the number line tells us that x can also
be greater than 1.
5.
The fifth inequality is -3≤x<7. There are two dots (the one above -3 is filled in since x can be equal to -3 but the one above the 7 is not since x is
smaller than 7. The line connecting the two dots tells us that x can also be equal to any number in-between these two dots.
6.
The sixth inequality is -4≤x≤1. This time both dots are filled in showing us that x can be equal to -4 and 1. The line connecting the points tells us
that x can also be equal to any number in-between -4 and 1.
As you may have already realised, there are two different types of dots. The coloured in dot means that the number is smaller/greater or equal to x and
the dot that is not coloured in stands for smaller or greater. Always remember to use the right dots when plotting inequalities on a number line

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Chapter 18.1: Learning Outcomes
Learn how to use a number line to represent inequalities!

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