Let R={(x,-y) : x,y belongs to W, 2x+y=8} (i) Find the domain and the range of R. (ii) Write R as a set of ordered pairs.
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{(0,-8),(1,-6),(2,-4),(3,-2),(4,0),(5,2),(6,4),(7,6)...
so by looking into above ordered pair,we find that because x and y belongs to set of whole numbers,so (0,-8),(1,-6),(2,-4),(3,-2) does not belongs to R.
Domain= {4,5,6,7,8,...}
Range={0,2,4,6,8,...}={x:x= 2n,n belongs to W}
R={(4,0),(5,2),(6,4),(7,6)...}
so by looking into above ordered pair,we find that because x and y belongs to set of whole numbers,so (0,-8),(1,-6),(2,-4),(3,-2) does not belongs to R.
Domain= {4,5,6,7,8,...}
Range={0,2,4,6,8,...}={x:x= 2n,n belongs to W}
R={(4,0),(5,2),(6,4),(7,6)...}
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