document.write( "Question 323191: Solve.\r
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document.write( "(x+15)(x-10)(x+5)> 0\r
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document.write( "Is there no solution?\r
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document.write( "Is it all real numbers?\r
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document.write( "Use at least one inequality or compound inequality \n" );
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Algebra.Com's Answer #231344 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve. \n" ); document.write( "(x+15)(x-10)(x+5)> 0 \n" ); document.write( "Is there no solution? \n" ); document.write( "Is it all real numbers? \n" ); document.write( "------------------------------ \n" ); document.write( "Draw and number line and plot x=-15, x= -5 , x = 10 \n" ); document.write( "--- \n" ); document.write( "That divides the number line into 4 segment. \n" ); document.write( "--- \n" ); document.write( "Test a value from each segment to see where the solutions lie. \n" ); document.write( "Substitute into : (x+15)(x-10)(x+5)> 0 \n" ); document.write( "If x = -20 you get -*-*- > 0 ; false so no solutions in (-inf,-10) \n" ); document.write( "--- \n" ); document.write( "If x = -10 you get +*-*- > 0 ; true so solutions in (-15,-5) \n" ); document.write( "--- \n" ); document.write( "If x = 0 you get: +*-*+ > 0 ; false so no solutions in (-5,10) \n" ); document.write( "--- \n" ); document.write( "If x = 20 you get: +*+*+ > 0 ; true so solutions in (10,+inf) \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |