document.write( "Question 123241: I am in 7th grade pre algebra and need help with my inequalities homework please. Here is one of them I do not understand: d - 5 ≤ - 11\r
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Algebra.Com's Answer #90418 by solver91311(24713)\"\" \"About 
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\n" ); document.write( "Discussion
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\n" ); document.write( "Solve inequalities just like you would solve equations. There are two very
\n" ); document.write( "important differences.\r
\n" ); document.write( "\n" ); document.write( "1. Instead of a single element in the solution set that you would get with
\n" ); document.write( "a linear equation in a single variable, with an inequality you get a solution
\n" ); document.write( "set with an infinite number of elements represented by a number line interval.\r
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\n" ); document.write( "\n" ); document.write( "2. When, in the process of solving the inequality, you need to multiply or
\n" ); document.write( "divide by a negative number, you must reverse the sense of the inequality.
\n" ); document.write( "Here's why:\r
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\n" ); document.write( "\n" ); document.write( "\"2%3C3\", but \"%28-1%29%282%29%3E%28-1%29%283%29\" because \"-2%3E-3\".
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\n" ); document.write( "Solution
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\n" ); document.write( "\"d-5%3C=11\"\r
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\n" ); document.write( "\n" ); document.write( "Just like an equation, you can add the same value to both sides:
\n" ); document.write( "\"d-5%2B5%3C=11%2B5\"\r
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\n" ); document.write( "\n" ); document.write( "\"d%3C=16\"\r
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\n" ); document.write( "\n" ); document.write( "Therefore, the solution set is all real numbers such that \"-infinity%3Cd%3C=16\"\r
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\n" ); document.write( "Check Answer
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\n" ); document.write( "The solution interval says that \"d=16\" is a solution, so check:
\n" ); document.write( "Is \"16-5%3C=11\" a true statement? Yes, \"11%3C=11\"\r
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\n" ); document.write( "\n" ); document.write( "The solution interval implies that anything smaller than 16 is a solution:
\n" ); document.write( "Is \"10-5%3C=11\" a true statement? Yes, \"5%3C=11\"\r
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\n" ); document.write( "\n" ); document.write( "The solution interval implies that anything larger than 16 is NOT a solution:
\n" ); document.write( "Is \"17-5%3C=11\" a false statement? Yes, 12 is NOT less than or equal to 11.\r
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\n" ); document.write( "\n" ); document.write( "Answer checks.
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