Thenumberofwatermelonsinatruckareallweighedonascale.Thescale roundstheweightofeverywatermelontothenearestpound.Thenumberof pounds read off the scale for each watermelon is called its measured weight.The domain for each of the following relations below is the set of watermelons on the truck.For each relation, indicate whether the relation is:

Reflexive, anti-reflexive, or neither

Symmetric, anti-symmetric, or neither

Transitive or not transitive

Justify your answer.

(a)Watermelon is related to watermelon y if the measured weight of water-melon x is at least the measured weight of watermelon y.No two water-melons have the same measured weight.

(b)Watermelon x is related to watermelon y if the measured weight of water-melon x is at least the measured weight of watermelon y.All watermelons have exactly the same measured weight.