Question 340408: I cannot differentiate between different forms of interval writing. What is interval writing and how do I know which brackets to use or what number goes where when I write out an answer? For example, 0 < 5-2x.
Found 2 solutions by Fombitz, solver91311: Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! When the inequality does not include an "=" sign, then the solution will not contain the interval endpoint, so then you would use a set of parentheses.
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Example: 


So the interval includes all numbers less than but not .
In interval notation that would be,
( , )
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When the inequality does contain an "=" sign, then the solution would include the interval endpoint, so then you would use a bracket.
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Example:


In interval notation,
( , ]
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And finally for a compound inequality,
Example:
The one side you already solved,

The other side is,



Putting those two together,
( , )
Then look at all of the variations with the different inequality signs,
: ( , )
: [ , )
: [ , ]
: ( , ]
Answer by solver91311(24713) (Show Source):
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