![]() This would then be represented on a number line by the following: Which we would read as ‘ is more than minus 4 but less than 2’. ![]() We call the two values, the upper and lower limits.įor example, say we wished to show the numbers between and, we could use the inequality. We can represent this on a number line by using a filled in circle:Īs well as showing numbers that are above or below a certain value we can use the same reasoning from above to show the numbers between two values. This would be written as the inequality, said ‘ is less than or equal to minus 2’. Next, we can show a situation where we may wish to include –2 in the numbers from the number line above. This is written as an inequality as and is said ‘ is less than minus 2’. The number line above shows all the numbers below, but not including. The same can be done for negative numbers: This is read as ‘ is greater than or equal to 1’. This then tells us that we are talking about the numbers more than 1, including 1 also. This can then be represented by the inequality. To show that we want to include 1, we can replace the circle for one which is filled in, like so: Where x represents any number and is read as ‘ is greater than 1’. This can be shown also by the inequality. The use of a circle that is not shaded in tells us that 1 is not included therefore, we have represented all of the numbers above but not included 1. Suppose we wanted to show on a number line all of the numbers that were above a certain value, say 1. There are not only the numbers shown above that exist, but there are also ones in between the integers. ![]() To find the gap between two numbers you can simply count the spaces between them on the number line. On a number line, the largest numbers extend to the right and the lower numbers (into the negatives) are towards the left. This is done with the use of a number line as shown below. Very often people like to use a number line to give a visual idea of where numbers come in a sequence.
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