document.write( "Question 253680: How do you solve this x+8 > line under > then-7 x+8 >7 \n" ); document.write( "
Algebra.Com's Answer #186018 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"x%2B8%3E=-7x%2B8%3E7\" Start with the given compound inequality.\r
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\n" ); document.write( "\n" ); document.write( "Break up the compound inequality to get:\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B8%3E=-7x%2B8\" AND \"-7x%2B8%3E7\"\r
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\n" ); document.write( "\n" ); document.write( "So let's solve the first inequality \"x%2B8%3E=-7x%2B8\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B8%3E=-7x%2B8\" Start with the given inequality.\r
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\n" ); document.write( "\n" ); document.write( "\"x%3E=-7x%2B8-8\" Subtract \"8\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B7x%3E=8-8\" Add \"7x\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"8x%3E=8-8\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"8x%3E=0\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x%3E=%280%29%2F%288%29\" Divide both sides by \"8\" to isolate \"x\". \r
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\n" ); document.write( "\n" ); document.write( "\"x%3E=0\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Now let's solve the second inequality \"-7x%2B8%3E7\"\r
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\n" ); document.write( "\n" ); document.write( "\"-7x%2B8%3E7\" Start with the given inequality.\r
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\n" ); document.write( "\n" ); document.write( "\"-7x%3E7-8\" Subtract \"8\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-7x%3E-1\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x%3C%28-1%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%3C1%2F7\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x%3E=0\" and \"x%3C1%2F7\".\r
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\n" ); document.write( "\n" ); document.write( "Our answer also looks like \"0%3C=x%3C1%2F7\".
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