Define a Relation $T$ From $\mathbf { R }$ To $\mathbf { R }$

question 19

Essay

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

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