document.write( "Question 363215: Provide answers in interval notation .\r
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document.write( "s^2 - 2s - 35 < 0 \n" );
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Algebra.Com's Answer #258960 by stanbon(75887) ![]() You can put this solution on YOUR website! Provide answers in interval notation . \n" ); document.write( "s^2 - 2s - 35 < 0 \n" ); document.write( "---- \n" ); document.write( "Find the boundary value for \"s\": \n" ); document.write( "--- \n" ); document.write( "s^2 - 2s - 35 = 0 \n" ); document.write( "(x-7)(x+5) = 0 \n" ); document.write( "x = -5 or x = 7 \n" ); document.write( "---------------------- \n" ); document.write( "Plot x=-5 and x=7 on a number line. \n" ); document.write( "--- \n" ); document.write( "Check a value from each of the resulting intervals \n" ); document.write( "in the INEQUALITY: \n" ); document.write( "(x-7)(x+5) < 0 \n" ); document.write( "--- \n" ); document.write( "Let x = -10 to get: -*- < 0 ; false \n" ); document.write( "Let x = 0 to get: -*+ < 0 ; true, so solutions in (-5,7) \n" ); document.write( "Let x = 10 to get: +*+ < 0 ; false \n" ); document.write( "-------------- \n" ); document.write( "Solution interval: (-5,7) \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |