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Define a Relation TT From R\mathbf { R } To R\mathbf { R }

Question 19

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Define a relation TT from R\mathbf { R } to R\mathbf { R } as follows: for all (x,y)∈R×R,xTy⇔y>x+1( x , y ) \in \mathbf { R } \times \mathbf { R } , x T y \Leftrightarrow y > x + 1 .
(a) Is (1,0)∈T?( 1,0 ) \in T ? Is (0,1)∈T?( 0,1 ) \in T ? Is (−2,5)∈T?( - 2,5 ) \in T ? Is (−3,−4)∈T?( - 3 , - 4 ) \in T ?
(b) Sketch the graph of TT in the Cartesian plane.

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