PROBLEM 5 - See picture for better details

PROBLEM 5 The number of watermelons in a truck are all weighed on a scale. The scale rounds the weight of every watermelon to the nearest pound. The number of pounds read off the scale for each watermelon is called its measured weight. The domain for ear]: of the following relations below is the set of watermelons on the trunk. For each relation, indicate whether the relation is: a Reexive, antireexive, or neither I Symnetrie. antisynmetriej or neither I Transitive or not transitive Justify your answer. (a) Watermelon a: is related to watermelon y if the measured weight of water melon :r' is at least the measured weight of watermelon 3;. No two water melons have the same measured weight. (b) Watermelon a: is related to watermelon y if the measured weight of water melon s: is at least the measured weight of watermelon y. All watermelons have errant-t1}.r the same measured weight