document.write( "Question 953371: Please help me by showing me how to do this problem and give me some tips on how to solve other problems like this : 1) If n^2˃4 and n is a natural number, then n ˃2
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Algebra.Com's Answer #582171 by Theo(13342)![]() ![]() You can put this solution on YOUR website! start with n^2 > 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take the square root of both sides of the equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you will get n > plus plus or minus sqrt(4) which becomes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n > plus or minus 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since n is a natural number, it can't be negative, and you are left with:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n > 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "taking the square root of both sides of an inequality preserves the inequaltiy.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assume that 5^2 > 24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is true since 25 is greater than 24.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "no argument there i hope.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take the square root of both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sqrt(25) > sqrt(24)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you will get 5 > 4.898979486...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you took the square root of both sides of the inequality and the inequality was preserved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the left side was greater at the beginning and at the end of the square root of both sides of the inequality operation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |