Mathematical Structures homework assignment 1 Each problem is worth 12 points. 1. Show that the formula 70 1-4 takes on the same logical value as -(V4), for each assignment of logical values to the statements y and y. Show that the formula - V - takes on the same logical value as -(), for each assignment of logical values to the statements p and y. 2. Let us define a binary relation on the integers by saying that two integers are in the relation when their difference is divisible by 7. Show that this is an equivalence relation. How many equivalence classes does it have