Algebra.Com's Answer #702047 by ikleyn(52781)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
.
\n" );
document.write( "\r\n" );
document.write( " >  ----> (add 7 to both sides) ---->\r\n" );
document.write( "\r\n" );
document.write( " >  ----> (factor left side) ---->\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(x+5)*(x+4) > 0, or, equivalently,\r\n" );
document.write( "\r\n" );
document.write( "(x - (-5)*(x - (-4)) > 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "1) x < -5 ====> both factors in the left are negative; hence, the product is positive.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2) -5 < x < -4 ====> factor (x - (-5)) in the left is positive while factor (x - (-4)) in the left is positive; hence, the product is negative.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3) x > -4 ====> both factors in the left are positive; hence, the product is positive.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer. The solution is the union of two intervals ( , ) U ( , ).\r\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( "Solved.\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "If you want to learn on how to solve quadratic inequalities, read the lesson\r
\n" );
document.write( "\n" );
document.write( " - Solving problems on quadratic inequalities \r
\n" );
document.write( "\n" );
document.write( "in this site.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" );
document.write( "\n" );
document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The referred lesson is the part of this online textbook under the topic \"Inequalities\".\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( " |