document.write( "Question 1175919: (49/81)^x+1 > 9/7 \n" ); document.write( "

Algebra.Com's Answer #801703 by ikleyn(52858) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The 6-th sense tells me that the inequality is\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%2849%2F81%29%5E%28x%2B1%29\"$ > $\"9%2F7\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "If so, then it is equivalent to\r\n" );
document.write( "\r\n" );
document.write( "     > \r\n" );
document.write( "\r\n" );
document.write( "     > \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since the base of the exponential function is greater than 1, it inplies\r\n" );
document.write( "\r\n" );
document.write( "     -2(x+1) > 1\r\n" );
document.write( "\r\n" );
document.write( "     -2x - 2 > 1\r\n" );
document.write( "\r\n" );
document.write( "      -2 - 1 > 2x\r\n" );
document.write( "\r\n" );
document.write( "       2x < -3                \r\n" );
document.write( "\r\n" );
document.write( "        x < .             ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Visual  CHECK\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "       Plot y =  (red)  and y =  (green)\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" );