Relation Properties and Element Count
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 ≤ 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 :