Question

Dado los conjuntos K={1,2,3,5} y L={2,3,4,5,6} determinar R: {(x, y) E K x L, x es mitad de y}

Answer 1

Set R consists of pairs (2,4), (3,6), (5,10) from sets K and L, where x is half of y.

Given the sets K={1,2,3,5} and L={2,3,4,5,6\}, we want to determine the set R, defined as
`(x, y) \in K * L, x \text{ is half of } y\}\).`

1. Consider each element of \(K\) and check if it is half of any element in L:

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`For \(x=1\), there is no \(y\) in \(L\) such that \(1\) is half of \(y\).`

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`For \(x=2\), \(2\) is half of \(4\) (\(2 * 2\)), so \((2,4)\) belongs to \(R\).`

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`For \(x=3\), \(3\) is half of \(6\) (\(3 * 2\)), so \((3,6)\) belongs to \(R\).`

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`For \(x=5\), \(5\) is half of \(10\) (\(5 * 2\)), so \((5,10)\) belongs to \(R\).`

2. The set R is then R=(2,4), (3,6), (5,10). These are the ordered pairs that satisfy the given condition.

Que. Given the sets K={1,2,3,5} and L={2,3,4,5,6},
determine R:
`(x, y) in K * L, x\) is half of \(y\}\).`