You can put this solution on YOUR website! problem:
x is greater than 1 or less than -2
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this would be shown as:
x < -2
or
x > 1
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interval notation would look like this:
(,-2) U (1,)
interval line would look like this:
<-------- (- =========== -2) U (1 =========== )----->
that means that x is greater than - infinity and less than -2
OR (the U is an OR symbol)
x is greater than 1 and less than infinity.
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the ======= is a fat line which represents the active interval.
the ------- is a skinny line which represents the rest of the interval line not actually part of the active interval.
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in interval notation,
(k means x is greater than k
[k means x is greater than or equal to k
k) means x is smaller than k
k] means x is smaller than or equal to k
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example:
(-5,10]
means x is greater -5 and less than or equal to 10.
this interval would be shown as -5 < x <= 10
the interval line would look like <----------- (-5 ======== 10] -------->
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another example:
[20,100)
means x is greater or equal to 20 and less than 100.
this interval would be shown as 20 <= x < 100.
the interval line would look like <----------- [20 ======== 100) -------->
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in your example, the interval line had to be split because the values of x were on the ends of the interval line rather than in the middle.
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