document.write( "Question 1182468: The sum of two consecutive positive integers is less than or equal to 10. Find all possible pairs of integers. \n" ); document.write( "
Algebra.Com's Answer #812525 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Of course the problem is quickly and easily solved without formal mathematics:
\n" ); document.write( "1 and 2
\n" ); document.write( "2 and 3
\n" ); document.write( "3 and 4
\n" ); document.write( "4 and 5

\n" ); document.write( "But if this is an exercise in setting up problems for solving using formal mathematics....

\n" ); document.write( "x = smaller integer
\n" ); document.write( "x+1 = larger integer

\n" ); document.write( "The sum of the two integers is less than 10:
\n" ); document.write( "(x)+(x+1) < 10
\n" ); document.write( "2x+1 < 10
\n" ); document.write( "2x < 9
\n" ); document.write( "x < 4.5

\n" ); document.write( "The smaller integer is positive and less than 4.5; the possibilities are 1, 2, 3, and 4 -- leading, of course, to the set of pairs above.

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