document.write( "Question 143890: Solve.
\n" ); document.write( "9/10(3+2x) +2>_ 23
\n" ); document.write( "The solution is {xlx ? ?} (of course _ is supposed to be under >)
\n" ); document.write( "Will someone please help me with this one?
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Algebra.Com's Answer #104798 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
\"%289%2F10%29%283%2B2x%29%2B2%3E=23\"\r
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\n" ); document.write( "\n" ); document.write( "Solve this just the same way you would solve it if it were an equation instead of an inequality, except that if you have to multiply or divide by a negative number, you must reverse the sense of the inequality.\r
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\n" ); document.write( "\n" ); document.write( "\"%289%2F10%29%283%2B2x%29%3E=21\"
\n" ); document.write( "\"9%283%2B2x%29%3E=210\"
\n" ); document.write( "\"27%2B18x%3E=210\"
\n" ); document.write( "\"18x%3E=183\"
\n" ); document.write( "\"x%3E=61%2F6\"\r
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "\"%289%2F10%29%283%2B2%2861%2F6%29%29%2B2%3E=23\"
\n" ); document.write( "\"%289%2F10%29%2818%2F6%2B122%2F6%29%2B2%3E=23\"
\n" ); document.write( "\"%289%2F10%29%28140%2F6%29%2B2%3E=23\"
\n" ); document.write( "\"%281260%2F60%29%2B2%3E=23\"
\n" ); document.write( "\"%281380%2F60%29=23\", so the equals part is ok.\r
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\n" ); document.write( "\n" ); document.write( "Since \"61%2F6\" is a little bigger than 10, pick a larger number, say \"27%2F2\".
\n" ); document.write( "\"%289%2F10%29%283%2B2%2827%2F2%29%29%29%2B2%3E=23\"
\n" ); document.write( "\"%289%2F10%29%2830%29%2B2%3E=23\"
\n" ); document.write( "\"27%2B2=29%3E23\", so the greater than part works.\r
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\n" ); document.write( "\n" ); document.write( "Now pick a smaller number, say \"17%2F2\"
\n" ); document.write( "\"%289%2F10%29%283%2B2%2817%2F2%29%29%29%2B2%3E=23\"
\n" ); document.write( "\"%289%2F10%29%2820%29%2B2%3E=23\"
\n" ); document.write( "\"18%2B2=20%3C23\", so a smaller number makes the relationship fail. Answer checks.
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