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

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Solution

It is given that the relation is defined as R={ (x, x 3 ):x is a prime number less than 10 } .

The prime number which is less than 10 are 2, 3, 5 and 7.

Substitute the value x=2 in x 3 .

2 3 =8

Substitute the value x=3 in x 3 .

3 3 =27

Substitute the value of x=5 in x 3 .

5 3 =125

Substitute the value of x=7 in x 3 .

7 3 =343

Thus, the relation in roster form is R={ ( 2,8 ),( 3,27 ),( 5,125 ),( 7,343 ) } .

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