Question

Write the relation $R=\left\{\right(x,x^3):x$ is a prime number less than $10\}$in roster form.

Answer 1

Given relation $R=\left\{\right(x,x^3):x$ is a prime number less than $10\}$
Since, the prime numbers less than $10$ are $2,3,5,7$
For $x=2$, we have an order pair of the form $(2,2^3)=(2,8)$
Similarly for $x=3$, we have $(3,3^3)=(3,27)$
for $x=5$, we have $(5,5^3)=(5,125)$
for $x=7$, we have $(7,7^3)=(7,343)$
Hence, the given relation in roaster form is $R=\left\{\right(2,8),(3,27),(5,125),(7,343\left)\right\}$.