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Let A={3,4,5,6,7}A = \{ 3,4,5,6,7 \} And Define a Relation RR On AA

question 9

Essay

Let A={3,4,5,6,7}A = \{ 3,4,5,6,7 \} and define a relation RR on AA as follows: for all x,yAx , y \in A ,
xRy2(xy).x R y \Leftrightarrow 2 \mid ( x - y ) .
(a) Is 6 R 3? Is 4 R 6?
(b) Draw the directed graph of R.

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Definitions:

Interest Expense

The cost incurred by an entity for borrowed funds, typically reported as a line item in the income statement.

Payout Ratio

The proportion of earnings paid out as dividends to shareholders, typically expressed as a percentage.

Dividend Payout Ratio

A financial measurement that calculates the percentage of net income distributed to shareholders in the form of dividends.

Retention Ratio

A financial metric indicating the percentage of a company's income retained and reinvested after dividends are paid to shareholders.

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