document.write( "Question 1137028: List the 4 smallest elements of each set. {y=2x+1, x E(element) natural numbers} \n" ); document.write( "
Algebra.Com's Answer #754875 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "You will be surprised, but even among mathematicians there is no one single canonical definition of what are \"natural numbers\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The most widely accepted understanding is that they are integer numbers {1, 2, 3, . . . }, starting from 1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "But there are influential mathematical schools and countries (France, for example), where they define natural numbers \r\n" ); document.write( "including 0 (zero) and starting from it.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You can read about it from this Wikipedia article https://en.wikipedia.org/wiki/Natural_number.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In US and in US schools, the natural numbers are integer starting from 1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "By accepting this definition, the answer to your question is this set {3, 5, 7, 9}.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "These numbers correspond to values x= 1, 2, 3 and 4 in the formula y = 2x + 1.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, explained and completed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |