Let R = {(x,y) (x,y) belongs to Z*Z,(x+y)(y+2004)+1=0} write R as a set of ordered pairs

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Please find below the solution to the asked query:

We have:x+yy+2004+1=0x+yy+2004=-1As both x and y are integers, hence we can get -1 by following two ways1.y+2004=1y=1-2004=-2003and x+y=-1x-2003=-1x=2003-1=2002x,y=2002,-20032.y+2004=-1y=-1-2004=-2005x+y=1x-2005=1x=2005+1=2006x,y=2006,-2005R=2002,-2003,2006,-2005

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