document.write( "Question 178299: 1/4(8y+4)-34<-1/3(9y-6) \n" ); document.write( "
Algebra.Com's Answer #133253 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%281%2F4%29%288y%2B4%29-34%3C-%281%2F3%29%289y-6%29\" Start with the given inequality\r
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\n" ); document.write( "\n" ); document.write( "\"3%288y%2B4%29-408%3C-4%289y-6%29\" Multiply EVERY term (that's not in a set of parenthesis) by the LCD 12 to clear the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"24y%2B12-408%3C-36y%2B24\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"24y-396%3C-36y%2B24\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"24y%3C-36y%2B24%2B396\" Add \"396\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"24y%2B36y%3C24%2B396\" Add \"36y\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"60y%3C24%2B396\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"60y%3C420\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"y%3C%28420%29%2F%2860%29\" Divide both sides by \"60\" to isolate \"y\". \r
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\n" ); document.write( "\n" ); document.write( "\"y%3C7\" 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 answer is \"y%3C7\" \r
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\n" ); document.write( "\n" ); document.write( "So the answer in interval notation is \r
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\n" ); document.write( "\n" ); document.write( "Also, the answer in set-builder notation is \r
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\n" ); document.write( "\n" ); document.write( "Here's the graph of the solution set on the number line:\r
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