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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