document.write( "Question 889080: If y=X^2 +X - 12, what is the range of values for which Y > or = 0 \n" ); document.write( "
Algebra.Com's Answer #537908 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
First find when \"y=0\"
\n" ); document.write( "\"x%5E2%2Bx-12=0\"
\n" ); document.write( "\"%28x%2B4%29%28x-3%29=0\"
\n" ); document.write( "Two solutions:
\n" ); document.write( "\"x%2B4=0\"
\n" ); document.write( "\"x=-4\"
\n" ); document.write( "and
\n" ); document.write( "\"x-3=0\"
\n" ); document.write( "\"x=3\"
\n" ); document.write( "Now you have the number line broken into three distinct regions.
\n" ); document.write( "\"x%3C-4\"
\n" ); document.write( "\"-4%3Cx%3C3\"
\n" ); document.write( "\"x%3E3\"
\n" ); document.write( "Choose a value in each region and test the inequality.
\n" ); document.write( "\"x=-5\"
\n" ); document.write( "\"x%5E2%2Bx-12%3E=0\"
\n" ); document.write( "\"%28-5%29%5E2-5-12%3E=0\"
\n" ); document.write( "\"25-5-12%3E=0\"
\n" ); document.write( "\"8%3E=0\"
\n" ); document.write( "True
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"x=0\"
\n" ); document.write( "\"%280%29%5E2%2B0-12%3E=0\"
\n" ); document.write( "\"-12%3E=0\"
\n" ); document.write( "False
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"x=4\"
\n" ); document.write( "\"%284%29%5E2%2B4-12%3E=0\"
\n" ); document.write( "\"16%2B4-12%3E=0\"
\n" ); document.write( "\"8%3E=0\"
\n" ); document.write( "True
\n" ); document.write( "So the first and third regions are the solution regions and you include the endpoints since it is greater than or equal to.
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "(\"-infinity\",\"-4\"]U[\"3\",\"infinity\")
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"graph%28300%2C300%2C-6%2C6%2C-6%2C6%2Cx%5E2%2Bx-12%29\"
\n" ); document.write( " \n" ); document.write( "
\n" );