![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
.
\n" ); document.write( "Find the value of x that satisfies the given condition.
\n" ); document.write( "x-4≤-6 or 2x+1≥3
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "We are given two inequalities\r\n" );
document.write( "\r\n" );
document.write( " x - 4 ≤ -6 (1)\r\n" );
document.write( "\r\n" );
document.write( " 2x + 1 ≥ 3 (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "connected with the servise word \" OR \".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It means that we should solve both inequalities SEPARATELY and to take the final solution as the UNION of partial solution sets.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We solve fisrst inequality\r\n" );
document.write( "\r\n" );
document.write( " x - 4 <= -6\r\n" );
document.write( "\r\n" );
document.write( " x <= -6 + 4 \r\n" );
document.write( "\r\n" );
document.write( " x <= -2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Next we solve second inequality\r\n" );
document.write( "\r\n" );
document.write( " 2x + 1 >= 3\r\n" );
document.write( "\r\n" );
document.write( " 2x >= 3 - 1\r\n" );
document.write( "\r\n" );
document.write( " 2x >= 2\r\n" );
document.write( "\r\n" );
document.write( " x >= 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now the final solution set is the union { x <= -2 } U { x >= 1 }, ANSWER\r\n" );
document.write( "\r\n" );
document.write( "or in the interval form (-oo,-2] U [1,oo). ANSWER\r\n" );
document.write( "\r\n" ); document.write( "\n" ); document.write( "Solved and carefully explained.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "On solving systems of inequalities and compound inequalities, see the lessons\r
\n" ); document.write( "\n" ); document.write( " - Solving systems of linear inequalities in one unknown \r
\n" ); document.write( "\n" ); document.write( " - Solving compound inequalities \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "