document.write( "Question 116439: Find all sets of three consecutive multiples of 6 whose sum is between -6 and 50.
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document.write( "I did it as -
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document.write( "-6 < 3x + 18 > 50
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document.write( "= -8 < x > 10.4
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document.write( "What is the correct answer?
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Algebra.Com's Answer #84651 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! LET X, X+6 & X+12 BE THE 3 NUMBERS. \n" ); document.write( "6<(3X+18)<50 \n" ); document.write( "CHECK FOR THE LOWER BOUNDRY \n" ); document.write( "6<3X+18 \n" ); document.write( "6-18<3X \n" ); document.write( "-12<3X \n" ); document.write( "-12/3 \n" ); document.write( "-3+(-3+6)+(-3+12)<50 \n" ); document.write( "-3+3+9<50 \n" ); document.write( "9<50 SO -3,3&9 ARE ACCEPTABLE NUMBERS. \n" ); document.write( "NOW WE TRY FOR THE UPPER LIMIT \n" ); document.write( "X+(X+6)+(X+12)<50 \n" ); document.write( "3X+18<50 \n" ); document.write( "3X<50-18 \n" ); document.write( "3X<32 \n" ); document.write( "X<32/3 \n" ); document.write( "X<10.67 \n" ); document.write( "LET X=10 \n" ); document.write( "10+16+22<50 \n" ); document.write( "48<50 SO 10,16&22 ARE ALSO ACCEPTABLE NUMBERS. \n" ); document.write( "THEREFORE THE ACCEPTABLE NUMBERS FOR X ARE ALL NUMBERS BETWEEN -3 & 10: \n" ); document.write( "-3,-2,-1,0,1,2,3,4,5,6,7,8,9&10 ARE THE ANSWERS FOR X.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |