document.write( "Question 253049: If x is a positive integer, which of the following CANNOT be an integer?\r
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document.write( "(A) (B)
(C)
(D)
(E)
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Algebra.Com's Answer #845360 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Look for counterexamples for each answer choice -- that is, positive values of x for which the expression is an integer. \n" ); document.write( "(A) \n" ); document.write( "x=1 yields value 0, which is an integer \n" ); document.write( "(B) \n" ); document.write( "again x=1 yields value 0 \n" ); document.write( "(C) \n" ); document.write( "x=3 makes the denominator 1 and so yields an integer value \n" ); document.write( "(E) \n" ); document.write( "x=4 yields value 1, which is an integer \n" ); document.write( "(D) \n" ); document.write( "I left this for last, because (D) is the answer. \n" ); document.write( "To see this, note that \n" ); document.write( "In that reformatted expression, 1 is an integer, so \n" ); document.write( "ANSWER: (D) \n" ); document.write( " \n" ); document.write( " |