we define the relation S as in the attached photo. 1)Show that 2,4R4,2. 2)Is 2,4R4,8 ? Justify your answer with a detailed proof. 3)Determine all the pairs of elements of S that are related, Justify your answer with a detailed proof. 4)Is the relation R reflexive? symmetric? transitive? Justify your answer with a detailed proof, or by a counterexample and a brief explanation.

Soit S - {3, 1; 2, 4; 4, 2; 4, 8}. On definit sur S une relation binaire R definie par: a Rb si et seulement si (a # b) et (2a + b E N ou [a] = )