document.write( "Question 224971: I need help. I need to sue builder notation to describe the complete solution. for 35-(4x+5)<2(x+2)+x. Can some explain to me how to work this problem and how I got the problem in details. Am a very slow learner and I just want to understand it. Please \n" ); document.write( "
Algebra.Com's Answer #167985 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"35-%284x%2B5%29%3C2%28x%2B2%29%2Bx\" Start with the given inequality.\r
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\n" ); document.write( "\n" ); document.write( "\"35-4x-5%3C2x%2B4%2Bx\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"-4x%2B30%3C2x%2B4%2Bx\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"-4x%2B30%3C3x%2B4\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"-4x%3C3x%2B4-30\" Subtract \"30\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-4x-3x%3C4-30\" Subtract \"3x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-7x%3C4-30\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"-7x%3C-26\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x%3E%28-26%29%2F%28-7%29\" Divide both sides by \"-7\" to isolate \"x\". note: Remember, the inequality sign flips when we divide both sides by a negative number. \r
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\n" ); document.write( "\n" ); document.write( "\"x%3E26%2F7\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x%3E26%2F7\" \r
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\n" ); document.write( "\n" ); document.write( "Which approximates to \"x%3E3.714\" \r
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\n" ); document.write( "\n" ); document.write( "So the answer in set-builder notation is \frac{26}{7}\right\}\">
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