document.write( "Question 1018975: Solve the polynomial inequality. Express the solution set in interval notation.
\n" ); document.write( "-x-6/x+5 is less than or equal to 0....
\n" ); document.write( "Please help!!!!!!!!!!!!!!!!!!!!!!!!!!
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Algebra.Com's Answer #634955 by josgarithmetic(39621)\"\" \"About 
You can put this solution on YOUR website!
Do you mean, (-x-6)/(x+5)<=0 ?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28-x-6%29%2F%28x%2B5%29%3C=0\"
\n" ); document.write( "Identify the critical values for x.
\n" ); document.write( "They are what will make numerator or denominator become 0.
\n" ); document.write( "-
\n" ); document.write( "\"-x-6=0\"
\n" ); document.write( "\"x%2B6=0\"
\n" ); document.write( "\"x=-6\"
\n" ); document.write( "and
\n" ); document.write( "\"x=-5\"
\n" ); document.write( ".
\n" ); document.write( "x must not become -5, but this is still a critical x value.
\n" ); document.write( "-
\n" ); document.write( "Examine the intervals which these critical values form.
\n" ); document.write( "\"x%3C=-6\", \"-6%3C=x%3C-5\", \"-5%3Cx\".
\n" ); document.write( "Pick any value in each interval and test to see which intervals satisfy the inequality and which do not satisfy the inequality.\r
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\n" ); document.write( "\n" ); document.write( "Checking Each Interval:
\n" ); document.write( "-
\n" ); document.write( "\"%28-%28-6%29-6%29%2F%28-6%2B5%29%3C=0\"
\n" ); document.write( "\"0%2F-1%3C=0\"
\n" ); document.write( "TRUE
\n" ); document.write( "-
\n" ); document.write( "\"%28-%28-5.5%29-6%29%2F%28-5.5%2B5%29%3C=0\"
\n" ); document.write( "\"%285.5-6%29%2F%28-0.5%29%3C=0\"
\n" ); document.write( "\"-0.5%2F%28-0.5%29%3C=0\"
\n" ); document.write( "\"1%3C=0\"
\n" ); document.write( "FALSE
\n" ); document.write( "-
\n" ); document.write( "\"%28-%28-4%29-6%29%2F%28-4%2B5%29%3C=0\"
\n" ); document.write( "\"-2%2F1%3C=0\"
\n" ); document.write( "\"-2%3C=0\"
\n" ); document.write( "TRUE
\n" ); document.write( "-
\n" ); document.write( "Interpret those results, and form your solution to the inequality.
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