document.write( "Question 1189768: 14-5x>9x
\n" ); document.write( "2(3x+1)≤½(2x-5) \n" ); document.write( "

Algebra.Com's Answer #821216 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "(2) 2(3x+1) ≤ ½(2x-5)
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document.write( "(1)  add 5x to both sides.  You will get then\r\n" );
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document.write( "        14 > 9x + 5x\r\n" );
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document.write( "        14 > 14x\r\n" );
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document.write( "     which is the same as\r\n" );
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document.write( "        14x < 14.\r\n" );
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document.write( "     Now divide both sides by 14.   You will get the ANSWER\r\n" );
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document.write( "         x < 1.      SOLVED.\r\n" );
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document.write( "(2)  Multiply both sides by 2\r\n" );
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document.write( "        4*(3x+1) <= 2x - 5\r\n" );
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document.write( "        12x + 4  <= 2x - 5\r\n" );
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document.write( "     \r\n" );
document.write( "     Collect the terms with x in the left side; collect the constant terms on the right side.\r\n" );
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document.write( "     When you move the terms across the inequality sign from one side to another,\r\n" );
document.write( "     do not forget to change the sign of these terms.\r\n" );
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document.write( "        \r\n" );
document.write( "        12x - 2x <= -5 - 4\r\n" );
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document.write( "           10x   <=   -9\r\n" );
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document.write( "     Divide both sides by 10 .  You will get the ANSWER\r\n" );
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document.write( "             x   <= .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "---------------\r
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\n" ); document.write( "\n" ); document.write( "If you want to learn on how to solve such inequalities, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Solving simple and simplest linear inequalities \r
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\n" ); document.write( "\n" ); document.write( "Consider this lesson as your textbook, handbook, tutorials and (free of charge) home teacher.
\n" ); document.write( "Read it attentively and learn how to solve this type of problems once and for all.\r
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