document.write( "Question 1183770: Kids under 12 and seniors over 62 get discounts on airline tickets. Write an absolute value inequality to express this \n" ); document.write( "
Algebra.Com's Answer #814227 by ikleyn(52932) You can put this solution on YOUR website! . \n" ); document.write( "Kids under 12 and seniors over 62 get discounts on airline tickets. \n" ); document.write( "Write an absolute value inequality to express this \n" ); document.write( "~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " |a - 37| > 25.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The set of those passengers who have a discount, is those passengers, whose age \" a \" satisfies this inequality.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Notice that 37 is exactly half way between 12 and 62, and 25 is exactly half the distance between 62 and 12.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved and explained.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "comment from student : Thank you very much. Just wondering when to use > and when to use < for such problems? \n" ); document.write( "I am guessing, the general method for such problems is: |age - (62 + 12)/2 | > (62 - 12) / 2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "My response : Regarding the formula, you are right. Your thinking is correct.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regarding the signs \" > \" and \" < \", we use \" < \" in such problems to describe what happens INSIDE the interval,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and we use \" > \" to describe what happens OUTSIDE the interval.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |