CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Let N be the set of all natural numbers. Let R={(a,b):a,bϵN and 2a+b=10}. Show that R is a binary relation on N. Find its domain, range and co-domain.

Open in App
Solution

Here R={(a,b):a,bϵN and 2a+b=10}

Now, 2a+b=10b=(102a)

(a=1b=8), (a=2b=6), (a=3b=4), (a=4b=2)

R={(1,8), (2,6), (3,4), (4,2)}

Since RN×N, so R is a binary relation on N.

Dom (R) = set of 1st coordinates of elements of R.

= {1, 2, 3, 4}

Range (R) = set of 2nd coordinates of elements of R.

= {8, 6, 4, 2}

Co-domain of R = N.


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Adaptive Q9
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon