Let A = {2, 3, 4, 5} and B = {3, 6, 7, 10}.

Question:

Let A = {2, 3, 4, 5} and B = {3, 6, 7, 10}.

Let $R=\{(x, y): x \in A, y \in B$ and $x$ is relatively prime to $y\} .$

(i) Write $\mathbf{R}$ in roster form.

(ii) Find dom (R) and range (R).

 

Solution:

Given: A = {2, 3, 4, 5} and B = {3, 6, 7, 10}

(i) $R=\{(x, y),: x \in A, y \in B$ and $x$ is relatively prime to $y\}$

So, R in Roster Form,

R = {(2, 3), (2, 7), (3, 7), (3, 10), (4, 3), (4, 7), (5, 3), (5, 6), (5, 7)}

(ii) $\operatorname{Dom}(\mathrm{R})=\{2,3,4,5\}$

Range(R) = {3, 6, 7, 10}

 

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now