document.write( "Question 117366: x+1/5 < x-9/2 how do i work it out ? \n" ); document.write( "
Algebra.Com's Answer #85392 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"x%2B1%2F5%3Cx-9%2F2\" Start with the given inequality\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%29%28x%2B1%2F5%29%3C%2810%29%28x-9%2F2%29\" Multiply both sides by the LCM of 10. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "\"10x%2B2%3C10x-45\" Distribute and multiply the LCM to each side\r
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\n" ); document.write( "\n" ); document.write( "\"10x%3C10x-45-2\"Subtract 2 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"10x-10x%3C-45-2\" Subtract 10x from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"0x%3C-45-2\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"0x%3C-47\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"0%3C-47\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "Since this inequality is never true for any x value, this means there are no solutions.
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