document.write( "Question 1209291: Solve the inequality 4t^2 \le -9t + 12. Write your answer in interval notation. \n" ); document.write( "

Algebra.Com's Answer #848187 by ikleyn(52832) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Solve the inequality 4t^2 \le -9t + 12. Write your answer in interval notation.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        The solution by the other tutor in his post is incorrect.\r
\n" ); document.write( "\n" ); document.write( "        The mistake is in incorrect factoring of the equation (which, actually, can not be factored).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        I came to bring a correct solution.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Write in the standard form quadratic inequality\r\n" );
document.write( "\r\n" );
document.write( "    4t^2 + 9t - 12 <= 0.    (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The corresponding quadratic equation is\r\n" );
document.write( "\r\n" );
document.write( "    4t^2 + 9t - 12 = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Find its roots using the quadratic formula\r\n" );
document.write( "\r\n" );
document.write( "     =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The roots are    and  .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The quadratic function in the left side of (1) is non-negative between the roots\r\n" );
document.write( "\r\n" );
document.write( "     <= t <= \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In the interval form, the solution set is the union of two sets\r\n" );
document.write( "\r\n" );
document.write( "    (,] U [,).    ANSWER\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( " \n" ); document.write( "

\n" );