document.write( "Question 806652: solve the quadratic inequality. Write the solution set in interval notation. x^2-3x-18<0 \n" ); document.write( "
Algebra.Com's Answer #485948 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " x² - 3x - 18 < 0\r\n" ); document.write( "(x - 6)(x + 3) < 0\r\n" ); document.write( "\r\n" ); document.write( "The critical numbers are 6 and -3\r\n" ); document.write( "\r\n" ); document.write( "-------o--------------------------o------\r\n" ); document.write( "-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8\r\n" ); document.write( "\r\n" ); document.write( "test value -4: (-4)² - 3(-4) - 18 < 0\r\n" ); document.write( " 16 + 12 - 18 < 0\r\n" ); document.write( " 10 < 0\r\n" ); document.write( "False do not shade (-infinity,-3)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "test value 0: (0)² - 3(0) - 18 < 0\r\n" ); document.write( " 0 + 0 - 18 < 0\r\n" ); document.write( " -18 < 0\r\n" ); document.write( "True, so shade (-3,6)\r\n" ); document.write( "\r\n" ); document.write( "-------o==========================o------\r\n" ); document.write( "-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "test value 7: (7)² - 3(7) - 18 < 0\r\n" ); document.write( " 49 -21 - 18 < 0\r\n" ); document.write( " 10 < 0\r\n" ); document.write( "False do not shade (6, infinity)\r\n" ); document.write( "\r\n" ); document.write( "-------o==========================o------\r\n" ); document.write( "-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8\r\n" ); document.write( "\r\n" ); document.write( "Answer (-3,6)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |