document.write( "Question 408765: can you please show me how to solve this problem? -2|3x-4|<16\r
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Algebra.Com's Answer #287891 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! If you divide both sides of the inequality by -2 you'll get \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "|3x-4| > -8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: remember that the sign will flip when you divide both sides by a negative number.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now remember that the absolute value of ANY number is ALWAYS nonnegative. In other words, it will NEVER be negative.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since 0 and every positive number is greater than any negative number, this means that the inequality |3x-4| > -8 is true for ALL values of x.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So there are an infinite number of solutions. Basically, any real number will work for x.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( " \n" ); document.write( " |