document.write( "Question 1146774: Normal body temperature T in humans is within 1F OF 99F. Use absolute value to write the range as an inequality. \n" ); document.write( "
Algebra.Com's Answer #768067 by Theo(13342)![]() ![]() You can put this solution on YOUR website! i velieve the equation will be abs(99 - x) <= 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this absolute value equation translates to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "either (99 - x) <= 1 or -(99 - x) <= 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you multiply both sides of the second inequality by -1, then your two inequalities become:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(99 - x) <= 1 or (99 - x) >= -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add x to both sides of each inequality; subtract 1 from both sides of the first inequality; add 1 to both sides of the second inequality. \n" ); document.write( "you will get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "98 <= x or 100 >= x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "98 <= x is the same as x >= 98.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "100 >= x is the same as x <= 100.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get x >= 98 and x <= 100 to get 98 <= x <= 100.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the temperature can be anywhere between 98 and 100 inclusive and be considered normal.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is |99 - x| <= 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this can also be written as abs(99 - x) <= 1.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |