Let A = {-4, -3, -2, 0,1,3,4} and R = {(a, b) 
A x A : b = |a| or b 2 = a + 1} be a relation on A. Then the minimum number of elements, that must be added to the relation R so that it becomes reflexive and symmetric, is
Text Solution
Verified by Experts7
(7)
Given,
A = {-4, -3, -2,0,1, 3,4} and R = {(a, b) 
A x A: b = |a| or b 2 = a + 1} be a relation on A,
So, the relation is given by,
R = {(-4,4), (-3, 3), (0,0), (1,1), (3,3), (4,4), (0,1), (3, -2)}
Now, relation to be reflexive (a, a) 
(-4. -4), (-3, -3), (-2, -2) also should be added in R.
Now relation to be symmetric if (a, b) 
R, then (b, a) 
(4, -4), (3, -3), (1,0), (-2,3) also should be added in R
Hence, minimum number of elements to be added to
R=3 + 4 = 7
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems