1.Let R1={(a,b)∈N×N:∣a−b∣≤13}R_1 = \{(a, b) \in \mathbb{N} \times \mathbb{N}: |a - b| \le 13\}R1={(a,b)∈N×N:∣a−b∣≤13} and R2={(a,b)∈N×N:∣a−b∣≥13}R_2 = \{(a, b) \in \mathbb{N} \times \mathbb{N}: |a - b| \ge 13\}R2={(a,b)∈N×N:∣a−b∣≥13}. Then on N\mathbb{N}N:a.Both R1R_1R1 and R2R_2R2 are equivalence relationsb.Neither R1R_1R1 nor R2R_2R2 is an equivalence relationc.R1R_1R1 is an equivalence relation but R2R_2R2 is notd.R2R_2R2 is an equivalence relation but R1R_1R1 is notLogin to continueOnly logged in users canattempt or see the solution.
