Question

The relation R = {($x$,$x^2$) |$x$ is a prime number less than 13}. Find the range of R.

• A. {1,4,9,25,49,121}
• B. {2,3,5,7,11}
• C. {2,3,5,7}
• D. {4,9,25,49,121}

Answer 1

The correct option is D {4,9,25,49,121}

Given:
$x$ is a prime number less than 13 = {2,3,5,7,11} = Domain
The relation R = {(x, x${}^2$)}
= {(2, 2${}^2$), (3, 3${}^2$), (5, 5${}^2$), (7, 7${}^2$), (11, 11${}^2$)}
= {(2,4), (3,9), (5,25), (7,49), (11,121)}
$\because$ The range of R is set of all images
Hence, the range is: {4, 9, 25, 49, 121}