document.write( "Question 1151646: For the following compound inequality, give the solution set in both interval and graph form.\r
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document.write( "x+2>7 or −4x+1≥9 \n" );
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Algebra.Com's Answer #773482 by ikleyn(52834)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution by @MathLover is TOTALLY WRONG.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " It is why I came to bring the correct solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "You are given the compound inequality, which is the system of two inequalities\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x+2 > 7 or -4x+1 >= 9.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Notice that the inequalities are connected by the service word \" or \", which means that the solution \r\n" ); document.write( "\r\n" ); document.write( "to the system is THE UNION of the solution sets for each individual inequality.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "First inequality x+2 > 7 has the solution x > 7, or, in the interval form (7,oo).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Second inequality -4x+1 >= 9 has the solution x <= -2, or, in the interval form (-oo,-2].\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The solution to the given system of inequalities is THE UNION of these two intervals (-oo,-2] U (7,oo). ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\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( " |