document.write( "Question 1208857: Solve the inequality. Express your answer using set notation and interval notation. Graph the solution set.\r
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document.write( "0 < [(3x + 2)/2] < 4\r
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Algebra.Com's Answer #847349 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( "\n" ); document.write( "Solve the inequality. Express your answer using set notation and interval notation. Graph the solution set.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 < [(3x + 2)/2] < 4 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Multiply all three parts of this inequality by 2.\r\n" ); document.write( "You will get an equivalent inequality\r\n" ); document.write( "\r\n" ); document.write( " 0 < 3x + 2 < 8.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Subtract 2 from all three terms. \r\n" ); document.write( "You will get an equivalent inequality\r\n" ); document.write( "\r\n" ); document.write( " -2 < 3x < 6.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Divide all three term by 3.\r\n" ); document.write( "You will get an equivalent inequality\r\n" ); document.write( "\r\n" ); document.write( " -2/3 < x < 2,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "which is your ANSWER. In the interval form, it is (-2/3,2).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The graph is like this\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " ------|----o==========|===============|===============o----\r\n" ); document.write( " -1 -2/3 0 1 2\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( " |