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Standard X

Mathematics

Relations

If M =-2,-1,1...

Question

If M = {-2,-1,1,2,4}, then find the relation $P : M \to M$ such that the first component is half the second component.

{(-1,2),(1,2),(2,4)}

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{(-1,-2),(1,4),(2,4)}

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{(-1,-2),(1,2),(2,4)}

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{(1,-2),(-1,2),(2,4)}

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Solution

The correct option is C {(-1,-2),(1,2),(2,4)}
Given, M = {-2,-1,1,2,4}.
$∵$ -1 is half of -2
-0.5 is half of -1
1 is half of 2
0.5 is half of 1
2 is half of 4
$∴$ The possible ordered pairs are {(-1,-2), (-0.5, -1), (0.5, 1), (1,2),(2,4)}. But -0.5 and 0.5 are not the elements of 'M'.

Hence P = {(-1,-2), (1,2),(2,4)}

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If M = {-2,-1,1,2,4}, then find the relation P : M→M such that the first component is half the second component.

If M = {-2,-1,1,2,4}, then find the relation $P : M \to M$ such that the first component is half the second component.