document.write( "Question 396496: Please help me solve this and express the answer in interval notation:
\n" );
document.write( "[(x-5)(x+6)]/(x-3))> = 0 \n" );
document.write( "
Algebra.Com's Answer #281249 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Please help me solve this and express the answer in interval notation: \n" ); document.write( "[(x-5)(x+6)]/(x-3))> = 0 \n" ); document.write( "======== \n" ); document.write( "The left side is zero when x = -6 and when x =5 \n" ); document.write( "------- \n" ); document.write( "x = 3 is a value x cannot have as it gives a zero denominator. \n" ); document.write( "------- \n" ); document.write( "Draw a number line and plot x = -6, x = 3, and x = 5 \n" ); document.write( "------- \n" ); document.write( "Check a value from each of the intervals to find inequality solution intervals. \n" ); document.write( "---------------------------------- \n" ); document.write( "Check x = -10; you get [-*-/-] > 0 ; false \n" ); document.write( "--- \n" ); document.write( "Check x = 0; you get [-*+/-]> 0 ; true so solutions in [-6,3) \n" ); document.write( "--- \n" ); document.write( "Check x = 4; you get [-*+/+]>0 ; false \n" ); document.write( "------- \n" ); document.write( "Solution: [-6,3) \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |