2themaleattendeespurchasedanaveragearithmeticmeanof3bo

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Unformatted text preview: int (­4,­2). ­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­ ­­­­­­­­­­­­­­【【【【D 【【【【【【【【【【【【【【 , 【【【【【Y2­Y1【/【X2­X1【 , 【(1)(2)【【【【(­ 2 3 , 1 2 ) ,【【D ­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­ ­­­­­­­­­­­­­­ 167. 16626­!­item­!­187;#058&010859 If x, y, and z are integers and xy + z is an odd integer, is x an even integer? (1) xy + xz is an even integer. (2) y + xz is an odd integer. ­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­ ­­­­­­­­­­­­­­【【【【A 【【【【xy + z = odd integer , xy(odd)+z(even)= odd integer , xy(even)+z(odd)=odd integer (1) xy + xz = even , xy(even)+xz(even)=even , so z 【【【odd , x【even , xz【【even , xy(odd)+xz(odd)=even , z 【even , xz【【【odd , 【【 (2) y + xz = odd integer , y(odd)+xz(even)=odd , z=even ,x=even , y(even)+xz(odd)=odd ,z=odd,x=odd , 【【【【【 ­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­ ­­­­­­­­­­­­­­ 168. 16680­!­item­!­187;#058&010861 On the number line, the distance between x and y is gre...
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