1.For α∈N\alpha \in Nα∈N, consider a relation RRR on NNN given by R={(x,y):3x+αy is a multiple of 7}R = \{ (x, y) : 3x + \alpha y \text{ is a multiple of } 7 \}R={(x,y):3x+αy is a multiple of 7}. The relation RRR is an equivalence relation if and only ifa.α=14\alpha = 14α=14b.α\alphaα is a multiple of 4c.4 is the remainder when α\alphaα is divided by 10d.4 is the remainder when α\alphaα is divided by 7Login to continueOnly logged in users canattempt or see the solution.
