Prove that the relation is an equivalence relation. Then give information about the equivalence class specified. The relation R on N (natural number) given by mRn iff m and n have the same digit in the tens places. Find an element of 106/R that is less than 50; between 150 and 300; greater than 1,000. Find three such elements in the equivalence class 635/R. Must show work proving it is a relation by showing reflexive, symmetric, and transitive.

Question

Prove that the relation is an equivalence relation. Then give information about the equivalence class specified. The relation R on N (natural number) given by mRn iff m and n have the same digit in the tens places. Find an element of 106/R that is less than 50; between 150 and 300; greater than 1,000. Find three such elements in the equivalence class 635/R.  Must show work proving it is a relation by showing reflexive, symmetric, and transitive.