Problem 1. Modular Arithmetic (5 points) For each of the equations below, find every x which satisfies the equality. If there are infinitely many x which satisfy an equality, you may find it helpful to list them out in a sequence whose pattern is obvious (e.g. {4,7,10,13,16,}) (a) [1 point] 14modx=0 (b) [1 point ]xmod6=3 (c) [1 point 39mod4=x (d) [1 point] ((27mod4)+(12mod4))mod4=x (e) [1 point] The previous two problems suggest a rule. Write this rule. Solution