document.write( "Question 465603: Find 4 consecutive odd integers where the product of the two smaller numbers less than the product of the two larger numbers. \n" ); document.write( "
Algebra.Com's Answer #319114 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Find 4 consecutive odd integers where the product of the two smaller numbers less than the product of the two larger numbers. \n" ); document.write( ": \n" ); document.write( "4 consecutive odd integers, x, (x+2), (x+4), (x+6) \n" ); document.write( ": \n" ); document.write( "where the product of the two smaller numbers less than the product of the two larger numbers. \n" ); document.write( "x(x+2) < (x+4)(x+6) \n" ); document.write( "FOIL \n" ); document.write( "x^2 + 2x < x^2 + 6x + 4x + 24 \n" ); document.write( "x^2 + 2x < x^2 + 10x + 24 \n" ); document.write( "x^2 - x^2 + 2x - 10x < 24 \n" ); document.write( "-8x < 24 \n" ); document.write( "x has to be positive, multiply both sides by -1, this reverses the inequality sign \n" ); document.write( "8x > -24 \n" ); document.write( "x > \n" ); document.write( "x > -3 \n" ); document.write( "An odd number greater than -3, is -1, \n" ); document.write( "then the 4 odd integers: -1, +1, +3, +5 \n" ); document.write( ": \n" ); document.write( "See if this satisfies the statement: \n" ); document.write( "-1(+1) < 3 * 5 \n" ); document.write( "-1 < 15 is true enough \n" ); document.write( ": \n" ); document.write( "We can any odd x greater than -3 will satisfy the statement \n" ); document.write( " |