Question

Let A = \{-2, -1, 0, 1, 2, 3, 4\. Let R be a relation on A defined by xRy if and only if \(2x + y \le 2\). Let \(l\) be the number of elements in R. Let \(m\) and \(n\) be the minimum number of elements required to be added in R to make it reflexive and symmetric relations respectively. Then \(l + m + n\) is equal to :}

• A. 34
• B. 35
• C. 32
• D. 33

Hint:

To make a relation symmetric, you only need to add the "mirror" of the existing asymmetric pairs. You don't need to make the whole set A satisfy the condition.

Answer 1

The Correct Option is B