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Let R={(a ,\ a^3): a is a prime number l...

Let `R={(a ,\ a^3): a` is a prime number less than 5} be a relation. Find the range of `R` .

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Verified by Experts

The correct Answer is:
Range `={8,27}`

Given,

`R={(a, a^{3})` : a is a prime number less than 5}

for `a=1 , a^3 =1 `
all the condition are satisfied but a=1 is not a prime
`therefore a=1 notin R`

for `a=2 , a^3 =8 `
`therefore a=2 in R`
for `a=3 , a^3 =27 `
...
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