document.write( "Question 845846: Solve the compound inequality |3x-9| < 15 AND |2x-3| > 5 (which reads \"The absolute value of 3x-9 is less than or equal to 15. AND The absolute value of 2x-3 is greater than or equal to 5\" Give answer in interval notation.
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document.write( "When I solve for each I get as far as the first being -2<_|x|<_24 and that the 2nd is -4>_|x|>_2. X cannot be both greater than -2 and less than -4 so I think it would be an empty set? Thank you \n" );
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Algebra.Com's Answer #521900 by tommyt3rd(5050)![]() ![]() You can put this solution on YOUR website! 1) \n" ); document.write( "-15 < 3x-9 < 15 \n" ); document.write( "-15+9 < 3x < 15+9 \n" ); document.write( "-6 < 3x < 24 \n" ); document.write( "-2 < x < 8\r \n" ); document.write( "\n" ); document.write( "(-2,8)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2) \n" ); document.write( "2x-3 < -5 or 2x-3 > 5 \n" ); document.write( "2x < -2 or 2x > 8 \n" ); document.write( "x < -1 or x > 4\r \n" ); document.write( "\n" ); document.write( "(-oo,-1)U(4,oo)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "intersection:\r \n" ); document.write( "\n" ); document.write( "(-2,-1) U (4,8) \n" ); document.write( " |