Write the Relation \(R\) in Roster Form
Question
Write the relation
\[ R=\{(x,x^3):x \text{ is a prime number less than }10\} \]
in roster form.
Solution
Prime numbers less than \(10\) are
\[ 2,3,5,7 \]
Now,
\[ 2^3=8 \]
\[ 3^3=27 \]
\[ 5^3=125 \]
\[ 7^3=343 \]
Therefore,
\[ \boxed{ R= \{ (2,8),(3,27),(5,125),(7,343) \} } \]