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Question
If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by 'x is greater than y'. The range of R is ______________ .
Options
{1, 4, 6, 9}
{4, 6, 9}
{1}
none of these
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Solution
{1}
Here,
R= { (x, y) : x ∈ A and y ∈ B : x > y }
⇒ R ={ (2, 1), (3, 1) }
Thus,
Range of R = {1}
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