Question

R = {(x, y): 2x + 3y lt 12, (x, y) = N}, then (i) find domain and range of R (ii) write R as a set of ordered pairs

Answer 1

Step-by-step explanation:

{(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)...}

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