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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Definitions:

Gold Standard

An economic setup where the worth of paper money or a country's currency is directly connected to the value of gold.

Fixed Exchange Rates

A government or central bank policy to maintain the country’s currency at a constant value relative to another currency or a benchmark.

Floating Exchange Rates

A currency valuation system where the value of a currency is determined by the foreign exchange market based on supply and demand relative to other currencies.

Gold Standard

A monetary system in which the value of currency is directly linked to gold, whereby currencies can be exchanged for a specific amount of gold.