document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #243921 by Fombitz(32388)\"\" \"About 
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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\n" ); document.write( "Example: \"5-2x%3E0\"
\n" ); document.write( "\"-2x%3E-5\"
\n" ); document.write( "\"x%3C5%2F2\"
\n" ); document.write( "So the interval includes all numbers less than \"5%2F2\" but not \"5%2F2\".
\n" ); document.write( "In interval notation that would be,
\n" ); document.write( "(\"-infinity\",\"5%2F2\")
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\n" ); document.write( "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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\n" ); document.write( "Example:\"5-2x+%3E=+0\"
\n" ); document.write( "\"-2x+%3E=+-5\"
\n" ); document.write( "\"x+%3C=+5%2F2\"
\n" ); document.write( "In interval notation,
\n" ); document.write( "(\"-infinity\",\"5%2F2\"]
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\n" ); document.write( "And finally for a compound inequality,
\n" ); document.write( "Example:\"0+%3C+5-2x+%3C+20\"
\n" ); document.write( "The one side you already solved,
\n" ); document.write( "\"x+%3C+5%2F2\"
\n" ); document.write( "The other side is,
\n" ); document.write( "\"5-2x%3C20\"
\n" ); document.write( "\"-2x%3C15\"
\n" ); document.write( "\"x%3E-15%2F2\"
\n" ); document.write( "Putting those two together,
\n" ); document.write( "(\"-15%2F2\",\"5%2F2\")
\n" ); document.write( "Then look at all of the variations with the different inequality signs,
\n" ); document.write( "\"0+%3C+5-2x+%3C+20\": (\"-15%2F2\",\"5%2F2\")
\n" ); document.write( "\"0+%3C+5-2x+%3C=+20\": [\"-15%2F2\",\"5%2F2\")
\n" ); document.write( "\"0+%3C=+5-2x+%3C=+20\": [\"-15%2F2\",\"5%2F2\"]
\n" ); document.write( "\"0+%3C=+5-2x+%3C+20\": (\"-15%2F2\",\"5%2F2\"]\r
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